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Single Variable Calculus

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Moderate

Integral of a Quadratic of Sines and Cosines

SVCALC-WGAEII

Evaluate the integral:

$$\int (\sin 2x +\cos 2x)^2 dx$$

A

$\cfrac{1}{3}(\sin 2x + \cos 2x)^3 + C$

B

$x + \cfrac{1}{2}\sin^2 2x + C$

C

$\sin 4x +C$

D

$x + \sin^2 2x + C$