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# Unit: Integrals

#### 0

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The definite integral of a function gives us the area under the curve of that function. Another common interpretation is that the integral of a rate function describes the accumulation of the quantity whose rate is given. We can approximate integrals using Riemann sums, and we define definite integrals using limits of Riemann sums. The fundamental theorem of calculus ties integrals and derivatives together and can be used to evaluate various definite integrals.

## Defining integrals with Riemann sums

### Practice

#### Quiz 1

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## Interpreting the behavior of accumulation functions

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#### Quiz 2

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## Reverse power rule

### Practice

#### Quiz 3

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## Definite integrals of common functions

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#### Quiz 4

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## Integrating using trigonometric identities

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#### Quiz 5

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## Improper integrals

### Practice

#### Quiz 6

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## Proof videos

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#### Unit test

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