I'm completely at a loss on how to solve this integral. I've tried to put it in programs like Wolfram Alpha and Microsoft Maths to get some semblance of an answer to aim for but all I get is a garbled mess.
To my knowledge it doesn't fit into any trigonometric identities that I know, and no other methods such as integration by parts and substitution don't really fit. So I'm just looking for some pointers on where to start.
$ \int \! \frac {\cos(3x)}{\sqrt{1-\sin(3x)}} dx $