What is the integral cos^{6}(x)? I just want to make sure I am correct.

The answer I got was [(3sin(4x) + 2sin(2x) + 5x)/16] + C

but I have no clue if I am correct and am not very confident in my integration skills.

If your answer is different, it'd be a great help if you could show me the process you took to get there.

Thanks!