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Evaluate the integral:

$$\int x^2\sin(4x) dx$$

A

$-\cfrac{1}{4}x^2\cos(4x) +\cfrac{1}{8}x\sin(4x) + \cfrac{1}{32}\cos(4x)+C$

B

$x^2\sin(4x) +4x\sin(4x) +C$

C

$-\cfrac{1}{4}x^2\cos(4x) -\cfrac{1}{8}x\sin(4x) - \cfrac{1}{32}\cos(4x)+C$

D

$-\cfrac{1}{4}x^2\sin(4x) +\cfrac{1}{8}x\cos(4x) - \cfrac{1}{16}\sin(4x)+C$

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