Question

Compute the integral.

Answer 1

use one of those "reduction formulas" unless you want to create if from scratch

Answer 2

think the best bet is to start with \[\int \sin^2(x)(1-\sin^2(x))dx\] then \[\int \sin^2(x)dx-\int\sin^4(x)dx\]

Answer 3

first one is probably in you book use \[\sin^2(x)=\frac{1}{2}(1-\cos(2x)\] second use the reduction formula on the back cover of your text