• Essence of calculus, chapter 1

    I want you to feel that you could have invented calculus for yourself, and in this first video of the series, we see how unraveling the nuances of a simple geometry question can lead to integrals, derivatives, and the fundamental theorem of calculus. Full playlist: http://3b1b.co/calculus Support for these videos comes primarily from Patreon: https://patreon.com/3blue1brown Special thanks to the following supporters: http://3b1b.co/eoc1-thanks ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted about new videos, subscribe, and click the bell to receive notifications (if you're into that). If you are new to this channel and want to see more, a good place to start is this p...

    published: 28 Apr 2017
  • Calculus 1 Lecture 1.1: An Introduction to Limits

    Calculus 1 Lecture 1.1: An Introduction to Limits

    published: 22 Aug 2012
  • What is Calculus? (Mathematics)

    What is calculus? In this video, we give you a quick overview of calculus and introduce the limit, derivative and integral. We begin with the question “Who invented Calculus?” Next, we talk about the two main tools you’ll study: derivatives and integrals. To understand both of these you’ll first learn about limits. After you learn how to compute the derivative and integral for basic functions and apply them to real-world problems, you’ll move up to higher dimensions and study things like “partial derivatives” and “multiple integrals.” ************** If you would like to help us make new videos, you can support us through Patreon at https://www.patreon.com/socratica We also welcome Bitcoin donations! Our Bitcoin address is: 1EttYyGwJmpy9bLY2UcmEqMJuBfaZ1HdG9 Thank you!! ******* W...

    published: 29 Sep 2016
  • Calculus - Introduction to Calculus

    This video will give you a brief introduction to calculus. It does this by explaining that calculus is the mathematics of change. A couple of examples are presented, and then limits, derivatives, and integrals are introduced. For more videos please visit http://www.mysecretmathtutor.com

    published: 19 Nov 2015
  • Calculus 1 Introduction, Basic Review, Limits, Continuity, Derivatives, Integration, IB, AP, & AB

    This calculus review video tutorial provides an introduction / basic overview of the fundamental principles taught in an IB or AP calculus AB course. This video is also useful for students taking their first semester of college level calculus. It cover topics such as graphing parent functions with transformations, limits, continuity, derivatives, and integration. This video contains plenty of examples and practice problems. Calculus Video Playlist: https://www.youtube.com/watch?v=rCxi-O79sVo&t=25s&index=1&list=PL0o_zxa4K1BVKErFko9je9IBZ0hXWXVtV Access to Premium Videos: https://www.patreon.com/MathScienceTutor Here is a list of topics: 1. Graphing Parent Functions With Transformations 2. Linear Functions, Quadratic & Cubic Functions 3. Rational Functions, Fractions, Square Roots, ...

    published: 01 Jan 2017
  • Calculus I in 20 Minutes (The Original) by Thinkwell

    http://bit.ly/qYnN40 Want to see the ENTIRE Calculus in 20 Minutes for FREE? Click on this link to see all 20 minutes in the full multimedia environment.

    published: 11 Jun 2007
  • 1. What is Calculus (Hindi)

    why study differentiation and integration

    published: 22 Jan 2016
  • Calculus at a Fifth Grade Level

    The foreign concepts of calculus often make it hard to jump right into learning it. If you ever wanted to dive into the world of mathematics - or if you are just having difficulty in your calculus class - and are having a hard time grasping the ideas, you should watch this video to go over the core principles of calculus in a way that requires no background knowledge: at a fifth grade level. See also: Infinity: https://www.youtube.com/watch?v=YnJe9eGsetk Trailer: https://www.youtube.com/watch?v=WiENvb2vxcQ Music by Esther Garcia and Kara Square from www.jamendo.com. Sound effects from www.freesound.org and Finnolia Sound Effects on YouTube.

    published: 09 May 2017
  • Calculus: What Is It?

    This video shows how calculus is both interesting and useful. Its history, practical uses, place in mathematics and wide use are all covered. If you are wondering why you might want to learn calculus, start here!

    published: 08 Jul 2013
  • What is Calculus Used For? | Jeff Heys | TEDxBozeman

    This talk describes the motivation for developing mathematical models, including models that are developed to avoid ethically difficult experiments.  Three different examples from the field of human health are presented. Jeffrey J. Heys is an assistant professor of chemical engineering at Montana State University. He received his B.S. in chemical engineering in 1996 from Montana State University, and his M.S. and Ph.D. from the University of Colorado at Boulder in 1998 and 2001,respectively.  His research area is computational transport and computational fluid dynamics in biological systems with an emphasis on fluid-structure interaction and multiphase flows. About TEDx, x = independently organized event In the spirit of ideas worth spreading, TEDx is a program of local, self-organized e...

    published: 20 Apr 2012
  • Big Picture of Calculus

    Calculus is about change. One function tells how quickly another function is changing. Professor Strang shows how calculus applies to ordinary life situations, such as: * driving a car * climbing a mountain * growing to full adult height View the complete course at: http://ocw.mit.edu/highlights-of-calculus License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

    published: 05 May 2010
  • Introduction to limits | Limits | Differential Calculus | Khan Academy

    Introduction to limits Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/limits_tutorial/v/limit-by-analyzing-numerical-data?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including m...

    published: 19 May 2011
  • ❤︎² Basic Integration... How? (mathbff)

    MIT grad shows how to find antiderivatives, or indefinite integrals, using basic integration rules. More videos with Nancy coming in 2017! To skip ahead: 1) For how to integrate a polynomial with the POWER RULE, skip to 1:35. 2) For how to integrate NEGATIVE POWERS of x, FRACTIONAL POWERS of x, and RADICALS/ROOTS, skip to 6:12. 3) For how to integrate x^(-1), or 1/x, with the LOG RULE, skip to 7:23. 4) For examples where you use more algebra to rewrite before integrating, to SEPARATE the numerator of a FRACTION, or EXPAND a PRODUCT in order to use the Power Rule, skip to 10:00. 5) For basic TRIG and EXPONENTIAL examples that use rules from the Table of Integrals, as well as trig identities, skip to 11:36. For my video on how to integrate using U-SUBSTITUTION, jump to: https://youtu.be/kTX...

    published: 01 May 2016
  • The Birth Of Calculus (1986)

    A documentary on Leibniz and the calculus.

    published: 13 Dec 2011
  • Calculus Rhapsody

    Calculus Rhapsody By Phil Kirk & Mike Gospel Is this x defined? Is f continuous? How do you find out? You can use the limit process. Approach from both sides, The left and the right and meet. Im a just a limit, defined analytically Functions continuous, Theres no holes, No sharp points, Or asymptotes. Any way this graph goes It is differentiable for me for me. All year, in Calculus Weve learned so many things About which we are going to sing We can find derivatives And integrals And the area enclosed between two curves. Y prime oooh Is the derivative of y Y equals x to the n, dy/dx Equals n times x To the n-1. Other applications Of derivatives apply If y is divided or multiplied You use the quotient And product rules And dont you forget To ...

    published: 22 May 2009
  • Understand Calculus in 10 Minutes

    TabletClass Math http://www.tabletclass.com learn the basics of calculus quickly. This video is designed to introduce calculus concepts for all math students and make the topic easy to understand.

    published: 19 May 2017
  • Calculus: Derivatives 1 | Taking derivatives | Differential Calculus | Khan Academy

    Finding the slope of a tangent line to a curve (the derivative). Introduction to Calculus. Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/calculus-derivatives-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/formal-and-alternate-form-of-the-derivative-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners ...

    published: 03 Oct 2007
  • Kapuso Mo, Jessica Soho: Calculus whiz kid, kilalanin!

    Viral ngayon ang video ng isang walong taong gulang na nag-sit in lang sa isang klase sa UP Diliman pero maning-mani at mabilis na nasasagutan ang mga Calculus problems. Kilalanin natin si IO Calica, ang Math Wizard ng Balanga, Bataan na magpapakitang gilas kay Ms. Jessica Soho sa husay niya sa Calculus. Aired: September 17, 2017 Watch 'Kapuso Mo, Jessica Soho' every Sunday night on GMA Network, hosted by award-winning Filipino broadcast journalist, Ms. Jessica Soho. Subscribe to us! http://www.youtube.com/user/GMAPublicAffairs?sub_confirmation=1 Find your favorite GMA Public Affairs and GMA News TV shows online! http://www.gmanews.tv/publicaffairs http://www.gmanews.tv/newstv

    published: 18 Sep 2017
  • What is Calculus?

    This clip provides an introduction to Calculus. More information can be found at www.cerebellum.com.

    published: 17 Feb 2009
  • Calculus in 20 Seconds

    Check out the new merch! http://casuallyexplained.com/ Although often attributed to Isaac Newton in the mid 17th century, it was in fact Gottfried Leibniz who first invented MyMathLab. #WolframAlphaLife

    published: 09 Dec 2015
  • What Is The Area Of A Circle Inscribed In Bell Curves? [Calculus Puzzle]

    Solve for area of the circle that is centered at the origin (0, 0) that is inscribed between the bell curves with equations y = e^(-x^2) and y = -e^(-x^2). Can you figure it out? Watch the video for a solution. My blog post for this video: https://wp.me/p6aMk-5m6 Source (Quora) https://www.quora.com/What-is-the-area-of-the-circle-with-center-0-0-inscribed-in-the-bell-curve-y-e-x-2 If you like my videos, you can support me at Patreon: https://www.patreon.com/mindyourdecisions Connect on social media. I update each site when I have a new video or blog post, so you can follow me on whichever method is most convenient for you. My Blog: https://mindyourdecisions.com/blog/ Twitter: https://twitter.com/preshtalwalkar Facebook: https://www.facebook.com/pages/Mind-Your-Decisions/168446714965 G...

    published: 19 Nov 2017
  • Calculus I - Lecture 01 - A Review of Pre-Calculus

    published: 16 Jun 2009
  • The Basic Idea of Calculus

    If you are wondering what Calculus is, or what you're teacher was ranting on about, this is a quick look at the basic idea behind it all. The next part is here: http://youtu.be/wD4FLB0Sp54 Don't worry, I'm still going to make Quantum mechanics videos too :)

    published: 21 Aug 2013
  • Calculus in 20 minutes - Reviewing Calculus

    Calculus in 20 Minutes Full Video by Edward Burger with content box, key idea box & definition box: https://www.youtube.com/watch?v=L5GmSYipz6A What is calculus? Rates of change - Limits - The derivative - Applications of the derivative - Applications of intergration. Calculus answers two basic questions: how do you find instantaneous rates of change, and how do you find the area under a curve? The derivative is an equation that gives the slope of the line tangent to a function. IKt is the basic of differential calculus which solves the instantaneous rate problem. An integral undoes a derivative, giving back the original function. Integral calculus goes backwards from differential calculus and solves for area under a curve.

    published: 16 Apr 2013
developed with YouTube
Essence of calculus, chapter 1

Essence of calculus, chapter 1

  • Order:
  • Duration: 17:05
  • Updated: 28 Apr 2017
  • views: 490199
videos
I want you to feel that you could have invented calculus for yourself, and in this first video of the series, we see how unraveling the nuances of a simple geometry question can lead to integrals, derivatives, and the fundamental theorem of calculus. Full playlist: http://3b1b.co/calculus Support for these videos comes primarily from Patreon: https://patreon.com/3blue1brown Special thanks to the following supporters: http://3b1b.co/eoc1-thanks ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted about new videos, subscribe, and click the bell to receive notifications (if you're into that). If you are new to this channel and want to see more, a good place to start is this playlist: http://3b1b.co/recommended Various social media stuffs: Website: https://www.3blue1brown.com Twitter: https://twitter.com/3Blue1Brown Patreon: https://patreon.com/3blue1brown Facebook: https://www.facebook.com/3blue1brown Reddit: https://www.reddit.com/r/3Blue1Brown
https://wn.com/Essence_Of_Calculus,_Chapter_1
Calculus 1 Lecture 1.1:  An Introduction to Limits

Calculus 1 Lecture 1.1: An Introduction to Limits

  • Order:
  • Duration: 1:27:26
  • Updated: 22 Aug 2012
  • views: 956103
videos https://wn.com/Calculus_1_Lecture_1.1_An_Introduction_To_Limits
What is Calculus?  (Mathematics)

What is Calculus? (Mathematics)

  • Order:
  • Duration: 9:14
  • Updated: 29 Sep 2016
  • views: 299277
videos
What is calculus? In this video, we give you a quick overview of calculus and introduce the limit, derivative and integral. We begin with the question “Who invented Calculus?” Next, we talk about the two main tools you’ll study: derivatives and integrals. To understand both of these you’ll first learn about limits. After you learn how to compute the derivative and integral for basic functions and apply them to real-world problems, you’ll move up to higher dimensions and study things like “partial derivatives” and “multiple integrals.” ************** If you would like to help us make new videos, you can support us through Patreon at https://www.patreon.com/socratica We also welcome Bitcoin donations! Our Bitcoin address is: 1EttYyGwJmpy9bLY2UcmEqMJuBfaZ1HdG9 Thank you!! ******* Written and Produced by Michael Harrison Michael Harrison received his BS in math from Caltech, and his MS from the University of Washington where he studied algebraic number theory. After teaching math for a few years, Michael worked in finance both as a developer and a quantitative analyst (quant). He then worked at Google for over 5 years before leaving to found Socratica. You can follow Michael on Twitter @mlh496 ******* You can also follow Socratica on: - Twitter: @socratica - Instagram: @SocraticaStudios - Facebook: @SocraticaStudios
https://wn.com/What_Is_Calculus_(Mathematics)
Calculus - Introduction to Calculus

Calculus - Introduction to Calculus

  • Order:
  • Duration: 4:11
  • Updated: 19 Nov 2015
  • views: 117924
videos
This video will give you a brief introduction to calculus. It does this by explaining that calculus is the mathematics of change. A couple of examples are presented, and then limits, derivatives, and integrals are introduced. For more videos please visit http://www.mysecretmathtutor.com
https://wn.com/Calculus_Introduction_To_Calculus
Calculus 1 Introduction, Basic Review, Limits, Continuity, Derivatives, Integration, IB, AP, & AB

Calculus 1 Introduction, Basic Review, Limits, Continuity, Derivatives, Integration, IB, AP, & AB

  • Order:
  • Duration: 2:46:04
  • Updated: 01 Jan 2017
  • views: 69744
videos
This calculus review video tutorial provides an introduction / basic overview of the fundamental principles taught in an IB or AP calculus AB course. This video is also useful for students taking their first semester of college level calculus. It cover topics such as graphing parent functions with transformations, limits, continuity, derivatives, and integration. This video contains plenty of examples and practice problems. Calculus Video Playlist: https://www.youtube.com/watch?v=rCxi-O79sVo&t=25s&index=1&list=PL0o_zxa4K1BVKErFko9je9IBZ0hXWXVtV Access to Premium Videos: https://www.patreon.com/MathScienceTutor Here is a list of topics: 1. Graphing Parent Functions With Transformations 2. Linear Functions, Quadratic & Cubic Functions 3. Rational Functions, Fractions, Square Roots, and Radical Functions 4. Exponential, Logarithmic and Trigonometric Functions 5. Limits - Direct Substitution, Factoring, Multiplying by the conjugation Given Radicals and Multiplying by the Common Denominator When Given Complex Fractions 6. Continuity - Point Discontinuity, Infinite Discontinuity, and Jump Discontinuity 7. 3 Step Continuity Test and Piecewise Functions 8. Average Rate of Change vs Instantaneous Rate of Change 9. Slope of the Secant Line vs Slope of the Tangent Line 10. Derivative Functions - Differentiation 11. Power Rule, Product & Quotient Rule, Chain Rule 12. Derivatives of Exponential Functions 13. Derivatives of Logarithmic Functions 14. Derivatives of Trigonometric Functions 15. Limit Definition of the Derivative f(x+h) 16. Alternative Form / Version - Limit Process 17. Relative Extreme Values - Local Minimum and Maximum Values - First Derivative Test and Sign Chart 18. Absolute Maxima and Minima 19. Critical Points, Horizontal and Vertical Tangent 20. How to find the critical numbers 21. Increasing and Decreasing Intervals and Functions 22. Concavity and Inflection Points - Second Derivative 23. Mean Value Theorem and Rolle's Theorem 24. Intermediate Value Theorem 25. Differentiation vs Integration 26. Basic Integration Rules 27. Antiderivatives, Definite Integral and Indefinite Integral 28. U-substitution Integration Technique 29. Rectilinear Particle Motion - Position, Velocity, Acceleration 30. Moving to the Right vs Moving to the left 31. When is the particle at rest or changing directions 32. Displacement vs Total Distance Traveled 33. Speeding up vs Slowing down 34. Velocity vs Speed
https://wn.com/Calculus_1_Introduction,_Basic_Review,_Limits,_Continuity,_Derivatives,_Integration,_Ib,_Ap,_Ab
Calculus I in 20 Minutes (The Original) by Thinkwell

Calculus I in 20 Minutes (The Original) by Thinkwell

  • Order:
  • Duration: 9:05
  • Updated: 11 Jun 2007
  • views: 1627378
videos
http://bit.ly/qYnN40 Want to see the ENTIRE Calculus in 20 Minutes for FREE? Click on this link to see all 20 minutes in the full multimedia environment.
https://wn.com/Calculus_I_In_20_Minutes_(The_Original)_By_Thinkwell
1. What is Calculus (Hindi)

1. What is Calculus (Hindi)

  • Order:
  • Duration: 4:23
  • Updated: 22 Jan 2016
  • views: 120097
videos
why study differentiation and integration
https://wn.com/1._What_Is_Calculus_(Hindi)
Calculus at a Fifth Grade Level

Calculus at a Fifth Grade Level

  • Order:
  • Duration: 19:53
  • Updated: 09 May 2017
  • views: 233001
videos
The foreign concepts of calculus often make it hard to jump right into learning it. If you ever wanted to dive into the world of mathematics - or if you are just having difficulty in your calculus class - and are having a hard time grasping the ideas, you should watch this video to go over the core principles of calculus in a way that requires no background knowledge: at a fifth grade level. See also: Infinity: https://www.youtube.com/watch?v=YnJe9eGsetk Trailer: https://www.youtube.com/watch?v=WiENvb2vxcQ Music by Esther Garcia and Kara Square from www.jamendo.com. Sound effects from www.freesound.org and Finnolia Sound Effects on YouTube.
https://wn.com/Calculus_At_A_Fifth_Grade_Level
Calculus: What Is It?

Calculus: What Is It?

  • Order:
  • Duration: 46:17
  • Updated: 08 Jul 2013
  • views: 395119
videos
This video shows how calculus is both interesting and useful. Its history, practical uses, place in mathematics and wide use are all covered. If you are wondering why you might want to learn calculus, start here!
https://wn.com/Calculus_What_Is_It
What is Calculus Used For? | Jeff Heys | TEDxBozeman

What is Calculus Used For? | Jeff Heys | TEDxBozeman

  • Order:
  • Duration: 8:51
  • Updated: 20 Apr 2012
  • views: 675777
videos
This talk describes the motivation for developing mathematical models, including models that are developed to avoid ethically difficult experiments.  Three different examples from the field of human health are presented. Jeffrey J. Heys is an assistant professor of chemical engineering at Montana State University. He received his B.S. in chemical engineering in 1996 from Montana State University, and his M.S. and Ph.D. from the University of Colorado at Boulder in 1998 and 2001,respectively.  His research area is computational transport and computational fluid dynamics in biological systems with an emphasis on fluid-structure interaction and multiphase flows. About TEDx, x = independently organized event In the spirit of ideas worth spreading, TEDx is a program of local, self-organized events that bring people together to share a TED-like experience. At a TEDx event, TEDTalks video and live speakers combine to spark deep discussion and connection in a small group. These local, self-organized events are branded TEDx, where x = independently organized TED event. The TED Conference provides general guidance for the TEDx program, but individual TEDx events are self-organized.* (*Subject to certain rules and regulations)
https://wn.com/What_Is_Calculus_Used_For_|_Jeff_Heys_|_Tedxbozeman
Big Picture of Calculus

Big Picture of Calculus

  • Order:
  • Duration: 37:47
  • Updated: 05 May 2010
  • views: 692183
videos
Calculus is about change. One function tells how quickly another function is changing. Professor Strang shows how calculus applies to ordinary life situations, such as: * driving a car * climbing a mountain * growing to full adult height View the complete course at: http://ocw.mit.edu/highlights-of-calculus License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
https://wn.com/Big_Picture_Of_Calculus
Introduction to limits | Limits | Differential Calculus | Khan Academy

Introduction to limits | Limits | Differential Calculus | Khan Academy

  • Order:
  • Duration: 11:32
  • Updated: 19 May 2011
  • views: 3163812
videos
Introduction to limits Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/limits_tutorial/v/limit-by-analyzing-numerical-data?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy
https://wn.com/Introduction_To_Limits_|_Limits_|_Differential_Calculus_|_Khan_Academy
❤︎² Basic Integration... How? (mathbff)

❤︎² Basic Integration... How? (mathbff)

  • Order:
  • Duration: 15:37
  • Updated: 01 May 2016
  • views: 669442
videos
MIT grad shows how to find antiderivatives, or indefinite integrals, using basic integration rules. More videos with Nancy coming in 2017! To skip ahead: 1) For how to integrate a polynomial with the POWER RULE, skip to 1:35. 2) For how to integrate NEGATIVE POWERS of x, FRACTIONAL POWERS of x, and RADICALS/ROOTS, skip to 6:12. 3) For how to integrate x^(-1), or 1/x, with the LOG RULE, skip to 7:23. 4) For examples where you use more algebra to rewrite before integrating, to SEPARATE the numerator of a FRACTION, or EXPAND a PRODUCT in order to use the Power Rule, skip to 10:00. 5) For basic TRIG and EXPONENTIAL examples that use rules from the Table of Integrals, as well as trig identities, skip to 11:36. For my video on how to integrate using U-SUBSTITUTION, jump to: https://youtu.be/kTXnhwQKuvU For my video on how to do INTEGRATION BY PARTS, jump to: https://youtu.be/pqKs3zcqJwU 1) POWER RULE: If you're integrating a polynomial, or just a power of x, you can use the Power Rule on each x-term in the polynomial. The Power Rule says that for a term that's just a power of x, such as x^3, you can integrate by raising the power by 1 AND dividing by that number (the new number you got by increasing the power by 1). For example, the integral of x^3 would be (x^4)/4. If there was a constant multiplied in front of the x-power, you can keep the constant and integrate the rest of the term (Constant Multiple Rule). For example, the integral of 6x^2 would be 6 times (x^3)/3, which simplifies to 2x^3. You can repeat these steps to integrate every term in the polynomial and string them together for the full integral. You can also keep the addition and subtraction between the terms (because of the Sum and Difference Rules). NOTE: The anti-derivative of a constant (just a number) is always that number times x (the Constant Rule), so the integral of 1 is 1*x, or x. At the end, it's very important to remember to add a constant of integration, to include a "+ c" at the end of your answer, when it is an indefinite integral (integral with no limits). ANOTHER NOTE: The Power Rule only works when the power is not -1. 2) NEGATIVE & FRACTIONAL POWERS, and RADICALS: For negative powers, you can still use the Power Rule, as long as the power is not -1. For fractional powers, you can also use the Power Rule. When you increase a fractional power by 1, you will have to simplify the power (before integrating) by getting a common denominator. For roots, like the square root of x, it's best to rewrite the radical as a fractional power, and then use the Power Rule. 3) IF THE X POWER IS -1 in the integrand, either written as x^(-1) or 1/x, you have to use a special rule, the LOG RULE, that you can find on a Table of Integrals. It says that the anti-derivative of x^(-1), or (1/x) is the natural log of the absolute value of x, plus c. 4) MORE ALGEBRA: Sometimes you may need to do a bit more algebra before integrating, so that the integrand is in a form that fits a basic integration rule, like the Power Rule. If you're integrating a rational expression, you can sometimes separate the numerator, or break the fraction into separate fractions, simplify each term, and then integrate with the Power Rule. If you have a product of x expressions, you can multiply it out, or distribute the factors so that you have just a polynomial (and can use the Power Rule). 5) TRIG & EXPONENTIAL: You can find a lot of trigonometric (and exponential) integral rules in the Table of Integrals. If you don't see it in the table, you may need to use a trig identity first, to rewrite the integrand into a form that you can integrate.
https://wn.com/❤︎²_Basic_Integration..._How_(Mathbff)
The Birth Of Calculus (1986)

The Birth Of Calculus (1986)

  • Order:
  • Duration: 24:44
  • Updated: 13 Dec 2011
  • views: 319165
videos
A documentary on Leibniz and the calculus.
https://wn.com/The_Birth_Of_Calculus_(1986)
Calculus Rhapsody

Calculus Rhapsody

  • Order:
  • Duration: 6:04
  • Updated: 22 May 2009
  • views: 1232276
videos
Calculus Rhapsody By Phil Kirk & Mike Gospel Is this x defined? Is f continuous? How do you find out? You can use the limit process. Approach from both sides, The left and the right and meet. Im a just a limit, defined analytically Functions continuous, Theres no holes, No sharp points, Or asymptotes. Any way this graph goes It is differentiable for me for me. All year, in Calculus Weve learned so many things About which we are going to sing We can find derivatives And integrals And the area enclosed between two curves. Y prime oooh Is the derivative of y Y equals x to the n, dy/dx Equals n times x To the n-1. Other applications Of derivatives apply If y is divided or multiplied You use the quotient And product rules And dont you forget To do the dance Also oooh (dont forget the chain rule) Before you are done, You gotta remember to multiply by the chain (Instrumental solo) I need to find the area under a curve Integrate! Integrate! You can use the integration Raise exponent by one multiply the reciprocal Plus a constant Plus a constant Add a constant Add a constant Add a constant labeled C (Labeled C-ee-ee-ee-ee) Im just a constant Nobody loves me. Hes just a constant Might as well just call it C Never forget to add the constant C Can you find the area between f and g In-te-grate f and then integrate g (then subtract) To revolve around the y-axis (integrate) outer radius squared minus inner radius squared (multiplied) multiplied by pi (multiply) Multiply the integral by pi! Pi tastes real good with whipped cream! Mama-Mia, Mama-Mia Mama-Mia let me go. Pre-calculus did not help me to prepare for Calculus, for Calculus, help me! So you think you can find out the limit of y? So you think youll find zero and have it defined Oh baby cant define that point baby Its undefined Goes to positive and negative infinity Oooh. Oooh yeah, oooh yeah. Differentiation Anyone can see Any mere equation It is differentiable for me. (Any way this graph goes)
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Understand Calculus in 10 Minutes

Understand Calculus in 10 Minutes

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  • Duration: 21:58
  • Updated: 19 May 2017
  • views: 35186
videos
TabletClass Math http://www.tabletclass.com learn the basics of calculus quickly. This video is designed to introduce calculus concepts for all math students and make the topic easy to understand.
https://wn.com/Understand_Calculus_In_10_Minutes
Calculus: Derivatives 1 | Taking derivatives | Differential Calculus | Khan Academy

Calculus: Derivatives 1 | Taking derivatives | Differential Calculus | Khan Academy

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  • Duration: 9:26
  • Updated: 03 Oct 2007
  • views: 1542826
videos
Finding the slope of a tangent line to a curve (the derivative). Introduction to Calculus. Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/calculus-derivatives-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/formal-and-alternate-form-of-the-derivative-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy
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Kapuso Mo, Jessica Soho: Calculus whiz kid, kilalanin!

Kapuso Mo, Jessica Soho: Calculus whiz kid, kilalanin!

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  • Duration: 11:00
  • Updated: 18 Sep 2017
  • views: 238175
videos
Viral ngayon ang video ng isang walong taong gulang na nag-sit in lang sa isang klase sa UP Diliman pero maning-mani at mabilis na nasasagutan ang mga Calculus problems. Kilalanin natin si IO Calica, ang Math Wizard ng Balanga, Bataan na magpapakitang gilas kay Ms. Jessica Soho sa husay niya sa Calculus. Aired: September 17, 2017 Watch 'Kapuso Mo, Jessica Soho' every Sunday night on GMA Network, hosted by award-winning Filipino broadcast journalist, Ms. Jessica Soho. Subscribe to us! http://www.youtube.com/user/GMAPublicAffairs?sub_confirmation=1 Find your favorite GMA Public Affairs and GMA News TV shows online! http://www.gmanews.tv/publicaffairs http://www.gmanews.tv/newstv
https://wn.com/Kapuso_Mo,_Jessica_Soho_Calculus_Whiz_Kid,_Kilalanin
What is Calculus?

What is Calculus?

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  • Duration: 1:32
  • Updated: 17 Feb 2009
  • views: 411890
videos
This clip provides an introduction to Calculus. More information can be found at www.cerebellum.com.
https://wn.com/What_Is_Calculus
Calculus in 20 Seconds

Calculus in 20 Seconds

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  • Duration: 0:18
  • Updated: 09 Dec 2015
  • views: 1559477
videos
Check out the new merch! http://casuallyexplained.com/ Although often attributed to Isaac Newton in the mid 17th century, it was in fact Gottfried Leibniz who first invented MyMathLab. #WolframAlphaLife
https://wn.com/Calculus_In_20_Seconds
What Is The Area Of A Circle Inscribed In Bell Curves? [Calculus Puzzle]

What Is The Area Of A Circle Inscribed In Bell Curves? [Calculus Puzzle]

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  • Duration: 7:48
  • Updated: 19 Nov 2017
  • views: 6832
videos
Solve for area of the circle that is centered at the origin (0, 0) that is inscribed between the bell curves with equations y = e^(-x^2) and y = -e^(-x^2). Can you figure it out? Watch the video for a solution. My blog post for this video: https://wp.me/p6aMk-5m6 Source (Quora) https://www.quora.com/What-is-the-area-of-the-circle-with-center-0-0-inscribed-in-the-bell-curve-y-e-x-2 If you like my videos, you can support me at Patreon: https://www.patreon.com/mindyourdecisions Connect on social media. I update each site when I have a new video or blog post, so you can follow me on whichever method is most convenient for you. My Blog: https://mindyourdecisions.com/blog/ Twitter: https://twitter.com/preshtalwalkar Facebook: https://www.facebook.com/pages/Mind-Your-Decisions/168446714965 Google+: https://plus.google.com/108336608566588374147/posts Pinterest: https://www.pinterest.com/preshtalwalkar/ Tumblr: https://preshtalwalkar.tumblr.com/ Instagram: https://instagram.com/preshtalwalkar/ Patreon: https://www.patreon.com/mindyourdecisions Newsletter (sent about 2 times a year): http://eepurl.com/KvS0r My Books "The Joy of Game Theory" shows how you can use math to out-think your competition. (rated 3.8/5 stars on 30 reviews) https://www.amazon.com/gp/product/1500497444 "The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" is a handbook that explains the many ways we are biased about decision-making and offers techniques to make smart decisions. (rated 5/5 stars on 2 reviews) https://www.amazon.com/gp/product/1523231467/ "Math Puzzles Volume 1" features classic brain teasers and riddles with complete solutions for problems in counting, geometry, probability, and game theory. Volume 1 is rated 4.4/5 stars on 13 reviews. https://www.amazon.com/gp/product/1517421624/ "Math Puzzles Volume 2" is a sequel book with more great problems. (rated 5/5 stars on 3 reviews) https://www.amazon.com/gp/product/1517531624/ "Math Puzzles Volume 3" is the third in the series. (rated 3.8/5 stars on 4 reviews) https://www.amazon.com/gp/product/1517596351/ "40 Paradoxes in Logic, Probability, and Game Theory" contains thought-provoking and counter-intuitive results. (rated 4.3/5 stars on 12 reviews) https://www.amazon.com/gp/product/1517319307/ "The Best Mental Math Tricks" teaches how you can look like a math genius by solving problems in your head (rated 4.7/5 stars on 4 reviews) https://www.amazon.com/gp/product/150779651X/ "Multiply Numbers By Drawing Lines" This book is a reference guide for my video that has over 1 million views on a geometric method to multiply numbers. (rated 5/5 stars on 3 reviews) https://www.amazon.com/gp/product/1500866148/
https://wn.com/What_Is_The_Area_Of_A_Circle_Inscribed_In_Bell_Curves_Calculus_Puzzle
Calculus I - Lecture 01 - A Review of Pre-Calculus

Calculus I - Lecture 01 - A Review of Pre-Calculus

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  • Duration: 46:51
  • Updated: 16 Jun 2009
  • views: 996294
videos
https://wn.com/Calculus_I_Lecture_01_A_Review_Of_Pre_Calculus
The Basic Idea of Calculus

The Basic Idea of Calculus

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  • Duration: 3:08
  • Updated: 21 Aug 2013
  • views: 129239
videos
If you are wondering what Calculus is, or what you're teacher was ranting on about, this is a quick look at the basic idea behind it all. The next part is here: http://youtu.be/wD4FLB0Sp54 Don't worry, I'm still going to make Quantum mechanics videos too :)
https://wn.com/The_Basic_Idea_Of_Calculus
Calculus in 20 minutes - Reviewing Calculus

Calculus in 20 minutes - Reviewing Calculus

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  • Duration: 18:16
  • Updated: 16 Apr 2013
  • views: 430145
videos
Calculus in 20 Minutes Full Video by Edward Burger with content box, key idea box & definition box: https://www.youtube.com/watch?v=L5GmSYipz6A What is calculus? Rates of change - Limits - The derivative - Applications of the derivative - Applications of intergration. Calculus answers two basic questions: how do you find instantaneous rates of change, and how do you find the area under a curve? The derivative is an equation that gives the slope of the line tangent to a function. IKt is the basic of differential calculus which solves the instantaneous rate problem. An integral undoes a derivative, giving back the original function. Integral calculus goes backwards from differential calculus and solves for area under a curve.
https://wn.com/Calculus_In_20_Minutes_Reviewing_Calculus
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