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Single Variable Calculus

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Moderate

Trigonometric Integral Involving Square Roots

SVCALC-AS7YBF

Evaluate the integral:

$$\int \sin^3 x \sqrt{\cos x}dx$$

A

$\dfrac{\sin^3x}{2\sqrt{x}}+C$

B

$\sin^4x\cos^\frac32x+C$

C

$\frac16\sin^4x\cos^\frac32x+C$

D

$\dfrac27 \cos^\frac72x - \dfrac23\cos^\frac32x + C$