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# Definite Integrals

## Functions defined by integrals

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Functions defined by integrals challengeGet 3 of 4 questions to level up!
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## Definite integral as area

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Finding definite integrals using area formulasGet 3 of 4 questions to level up!
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## Review: Definite integral basics

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Definite integral basics challengeGet 5 of 7 questions to level up!
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## Definite integral evaluation

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Definite integrals: reverse power ruleGet 3 of 4 questions to level up!
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Definite integrals: common functionsGet 3 of 4 questions to level up!
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Area using definite integralsGet 3 of 4 questions to level up!
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## Definite integrals of piecewise functions

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Definite integrals of piecewise functionsGet 3 of 4 questions to level up!
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## Challenging definite integrals

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Integration by parts: definite integralsGet 3 of 4 questions to level up!
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𝘶-substitution: definite integralsGet 3 of 4 questions to level up!
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## Improper integrals

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Improper integralsGet 3 of 4 questions to level up!
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Improper integrals challengeGet 3 of 4 questions to level up!
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## Riemann sums with sigma notation

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Riemann sums in summation notationGet 3 of 4 questions to level up!
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## Trapezoidal rule

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Midpoint & trapezoidal sumsGet 3 of 4 questions to level up!
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## Definite integral as the limit of a Riemann sum

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Definite integral as the limit of a Riemann sumGet 3 of 4 questions to level up!
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## Review: Riemann sums

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Riemann sums challengeGet 3 of 4 questions to level up!
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#### Unit test

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### About this unit

Definite integrals are a way to describe the area under a curve. Make introduction with this intriguing concept, along with its elaborate notation and various properties.