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Single Variable Calculus

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Moderate

Integral of Sine Squared

SVCALC-SCYTYY

Evaluate the indefinite integral:

$$\int \sin^2 x dx$$

Express your final answer in terms of $\sin x$ and $\cos x$.

Hint: recall the double-angle identities from trigonometry.

A

$\dfrac{x}{4} - \dfrac{\sin x}{4} +C$

B

$\dfrac{x}{2} - \dfrac{\sin x\cos x}{2} +C$

C

$ - \cos^2x +C$

D

$\sin^3 x + C$