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Calculus: Integrals: Trig Substitution 1
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This 8-minute video lessons gives an example of using trig substitution to solve an indefinite integral.

Author:
Khan, Salman
Calculus: Integrals: Trig Substitution 2
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This 8-minute video lesson looks at another example of finding an anti-derivative using trigonometric substitution.

Author:
Khan, Salman
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.

Author:
Khan, Salman
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!

Author:
Khan, Salman
Calculus: Introduction to L'Hopital's Rule
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This 9-minute video lesson provides an introduction to L'Hopital's Rule. [Calculus playlist: Lesson 36 of 156]

Author:
Khan, Salman
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.

Calculus: Introduction to Trig Substitution
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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.