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# Unit 8: Accumulation and Riemann sums

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The definite integral represents the area under the graph of a function between two vertical lines. Sometimes this area isn't found so easily, but we can always estimate it using simpler shapes like rectangles. In fact, the formal definition of the definite integral is based on these approximations, which are called Riemann sums.

## Midpoint & trapezoidal sums

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#### Quiz 1

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## Definite integral as the limit of a Riemann sum

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#### Quiz 2

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## Functions defined by integrals

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#### Quiz 3

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