Integrals Involving Trig Functions - Integration techniques

In this part we are going to come across at quite a few integrals that are including trig functions and few methods we can use to help us evaluate them.  Let us start off along with an integral that we should previously be capable to do.

∫ cos x sin⁵ x dx = ∫ u⁵ du                           by using the substitution u = sin x

= 1/6 sin⁶ x+c

This integral is extremely easy to do along with a substitution as the existence of the cosine, although, what about the following integral.