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# Applications of integration

AP Calc: CHA (BI), CHA‑4 (EU), CHA‑5 (EU), CHA‑6 (EU)

AP Calc: CHA (BI), CHA‑4 (EU), CHA‑4.B (LO), CHA‑4.B.1 (EK)

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Average value of a functionGet 3 of 4 questions to level up!

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AP Calc: CHA (BI), CHA‑4 (EU), CHA‑4.C (LO), CHA‑4.C.1 (EK)

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Analyzing motion problems (integral calculus)Get 3 of 4 questions to level up!

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Motion problems (with integrals)Get 3 of 4 questions to level up!

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AP Calc: CHA (BI), CHA‑4 (EU), CHA‑4.D (LO), CHA‑4.D.1 (EK), CHA‑4.D.2 (EK), CHA‑4.E (LO), CHA‑4.E.1 (EK)

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Interpreting definite integrals in contextGet 3 of 4 questions to level up!

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Analyzing problems involving definite integralsGet 3 of 4 questions to level up!

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Problems involving definite integrals (algebraic)Get 3 of 4 questions to level up!

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AP Calc: CHA (BI), CHA‑5 (EU), CHA‑5.A (LO), CHA‑5.A.1 (EK)

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Area between a curve and the x-axisGet 3 of 4 questions to level up!

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Area between two curves given end pointsGet 3 of 4 questions to level up!

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Area between two curvesGet 3 of 4 questions to level up!

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AP Calc: CHA (BI), CHA‑5 (EU), CHA‑5.A (LO), CHA‑5.A.2 (EK)

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Horizontal areas between curvesGet 3 of 4 questions to level up!

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AP Calc: CHA (BI), CHA‑5 (EU), CHA‑5.A (LO), CHA‑5.A.3 (EK)

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Area between curves that intersect at more than two points (calculator-active)Get 3 of 4 questions to level up!

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AP Calc: CHA (BI), CHA‑5 (EU), CHA‑5.B (LO), CHA‑5.B.1 (EK)

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Volumes with cross sections: squares and rectangles (intro)Get 3 of 4 questions to level up!

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Volumes with cross sections: squares and rectanglesGet 3 of 4 questions to level up!

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AP Calc: CHA (BI), CHA‑5 (EU), CHA‑5.B (LO), CHA‑5.B.2 (EK), CHA‑5.B.3 (EK)

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Volumes with cross sections: triangles and semicirclesGet 3 of 4 questions to level up!

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AP Calc: CHA (BI), CHA‑5 (EU), CHA‑5.C (LO), CHA‑5.C.1 (EK)

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Disc method: revolving around x- or y-axisGet 3 of 4 questions to level up!

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AP Calc: CHA (BI), CHA‑5 (EU), CHA‑5.C (LO), CHA‑5.C.2 (EK)

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Disc method: revolving around other axesGet 3 of 4 questions to level up!

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AP Calc: CHA (BI), CHA‑5 (EU), CHA‑5.C (LO), CHA‑5.C.3 (EK)

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Washer method: revolving around x- or y-axisGet 3 of 4 questions to level up!

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AP Calc: CHA (BI), CHA‑5 (EU), CHA‑5.C (LO), CHA‑5.C.4 (EK)

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Washer method: revolving around other axesGet 3 of 4 questions to level up!

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Level up on the above skills and collect up to 700 Mastery points

AP Calc: CHA (BI), CHA‑6 (EU), CHA‑6.A (LO), CHA‑6.A.1 (EK)

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Arc lengthGet 3 of 4 questions to level up!

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AP Calc: CHA (BI), CHA‑4 (EU), CHA‑4.B (LO), CHA‑4.C (LO), CHA‑4.E (LO)

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Contextual and analytical applications of integration (calculator-active)Get 3 of 4 questions to level up!

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Level up on all the skills in this unit and collect up to 2000 Mastery points!#### Unit test

### About this unit

Definite integrals are all about the accumulation of quantities. Let's see how they are applied in order to solve various kinds of problems.AP® is a registered trademark of the College Board, which has not reviewed this resource.