- #1

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I=int{sin

^{6}(x)dx

This form of question has shown up on both midterms, and is on my final assignment of the semester and most likely the final exam as well, and I still haven't figured out how to solve them. Could somebody point me in the right direction? Should I be integrating by parts? U-substitution? I just don't know how to deal with the exponenet. I tried expanding it into the integral of (sin

^{2}x)

^{3}, but ended up with a page and of a half of work, and the wrong answer. I know the answer is 5x/16-15/64(sin2x)+3/64(sin4x)-1/192(sin6x), but as I said have no idea how to get there...