Originally Posted by

**TheMathTham** Hi everyone! First post here of many to come. I have an integral problem that I'm not sure on how to work out.

$\displaystyle (integral of)sin^(4)xcosxdx$

(If someone could tell me how to input the various math symbols, that would be much appreciated)

The following are the answer choices:

$\displaystyle (A) .1sin^(5)xcos^(2)x + C$

$\displaystyle (B) .2sin^(5)x + C$

$\displaystyle (C) .2sin^(5)xcos^(2)x + C$

$\displaystyle (D) 4sin^(3)xcos^(2)x-sin^(5)x + C$

$\displaystyle (E) .2sin^(5)xcosx + sin^(5)x + C$

I'm pretty lost on what to do here. I can think of breaking up $\displaystyle sin^(4)x$ into $\displaystyle sin^(2)x * 1-cos^(2)x$. Other than that, I'm not sure how to go about this problem. Thanks for any replies!