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AP® Calculus AB-BC

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A Definite Integral Involving a Radical

APCALC-MHFKFW

Evaluate the given definite integral:

$$\int _{ 0 }^{ 1 }{ x\sqrt { 1-{ x }^{ 2 } } dx } $$

A

$-\cfrac{1}{3}$

B

$\cfrac{1}{3}$

C

$0$

D

$1$