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# Unit 9: Antiderivatives and the fundamental theorem of calculus

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The antiderivative of a function ƒ is a function whose derivative is ƒ. To find antiderivatives of functions we apply the derivative rules in reverse. The fundamental theorem of calculus connects differential and integral calculus by showing that the definite integral of a function can be found using its antiderivative.

## Fundamental theorem of calculus

#### Quiz 1

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## Indefinite integrals of sin(x), cos(x), eˣ, and 1/x

### Practice

#### Quiz 2

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## Improper integrals

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#### Quiz 3

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## Partial fraction expansion

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#### Quiz 4

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## Optional videos

#### Quiz 5

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