Let's see the second one, PH. But, be sure to go in slow, methodical, baby steps.
Speaking of which, can you recommend a good book on complex analysis from which I could learn more?.
all solutions are corect right?
$\displaystyle \int\sin{x}(1-\cos^2{x})\cos^3{x}dx$
$\displaystyle \int\sin{x}\cos^3{x} - \sin{x}\cos^5{x}dx$
$\displaystyle -\frac{1}{4}\cos^4{x} + \frac{1}{6}\cos^6{x}dx$
Edit wrong signs