Question

integratation of power of sines and cosines:

∫ sin^4 xcos^2xdx

Answer 1

sin^4x cos^2x
1/2 sin^2(x) sin(2x)
1/4 (1-cos(2x) ) sin(2x)
1/4 sin2x -1/4 sin(2x) cos(2x)
1/4 sin2x -1/8 sin(4x)

Answer 2

Does it help?

Answer 3

Another way will be to do substitution