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Calculus: Implicit Differentiation
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Like people, mathematical relations are not always explicit about their intentions. In this tutorial, we'll be able to take the derivative of one variable with respect to another even when they are implicitly defined (like "x^2 + y^2 = 1").

Subject:
Calculus
Math
Material Type:
Lesson
Provider:
Khan Academy
Author:
Salman Khan
Date Added:
05/03/2018
Calculus: Indefinite and Definite Integrals
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This series of videos focusing on calculus covers indefinite integral as anti-derivative, definite integral as area under a curve, integration by parts, u-substitution, trig substitution.

Subject:
Calculus
Math
Material Type:
Activity/Lab
Provider:
Khan Academy
Provider Set:
Khan Academy
Date Added:
10/10/2018
Calculus: Introduction to Definite Integrals
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This 9-minute video lesson demonstrates how to use the definite integral to solve for the area under a curve. It also provides intuition on why the antiderivative is the same thing as the area under a curve.

Subject:
Calculus
Math
Material Type:
Lesson
Provider:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Calculus: Introduction to Improper Integrals
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Not everything (or everyone) should or could be proper all the time. Same is true for definite integrals. In this tutorial, we'll look at improper integrals--ones where one or both bounds are at infinity! Mind blowing!

Subject:
Calculus
Math
Material Type:
Lesson
Provider:
Khan Academy
Author:
Salman Khan
Date Added:
05/03/2018
Calculus: Introduction to L'hopital's Rule
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Limits have done their part helping to find derivatives. Now, under the guidance of l'Hopital's rule, derivatives are looking to show their gratitude by helping to find limits. Ever try to evaluate a function at a point and get 0/0 or infinity/infinity? Well, that's a big clue that l'Hopital's rule can help you find the limit of the function at that point.

Subject:
Calculus
Math
Material Type:
Lesson
Provider:
Khan Academy
Author:
Salman Khan
Date Added:
05/03/2018
Calculus: Introduction to Trig Substitution
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CC BY-NC-SA
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We will now do another substitution technique (the other was u-substitution) where we substitute variables with trig functions. This allows us to leverage some trigonometric identities to simplify the expression into one that it is easier to take the anti-derivative of.

Subject:
Calculus
Math
Material Type:
Lesson
Provider:
Khan Academy
Author:
Salman Khan
Date Added:
05/03/2018