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# Unit 6: Integration and accumulation of change

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The definite integral is an important tool in calculus. It calculates the area under a curve, or the accumulation of a quantity over time. Riemann sums allow us to approximate integrals, while the fundamental theorem of calculus reveals how they connect to derivatives.

## Riemann sums, summation notation, and definite integral notation

#### Quiz 1

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## Interpreting the behavior of accumulation functions involving area

### Practice

#### Quiz 2

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## The fundamental theorem of calculus and definite integrals

### Practice

#### Quiz 3

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## Finding antiderivatives and indefinite integrals: basic rules and notation: definite integrals

### Practice

#### Quiz 4

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## Integrating functions using long division and completing the square

### Practice

#### Quiz 5

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## Optional videos

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#### Unit test

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