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AP® Calculus AB-BC

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Moderate

Antiderivative Involving a Radical Expression

APCALC-OE4WBF

Find the indefinite integral:

$$\int { \frac { 1 }{ x\sqrt { x } } } dx$$

A

$-\frac { 2 }{ 5 } { x }^{ -\frac { 5 }{ 2 } }+C$

B

${ x }^{ -\frac { 3 }{ 2 } }+C$

C

$-\cfrac { 2 }{\sqrt { x } } +C$

D

$-\cfrac{1}{2\sqrt { x } }+C$