How do I integrate (sinx)^6 ?

I could integrate (sinx)^4 by doing (sin^2 x)^2 for example and then using the half angle formula (1 - cos(2x))/2 but I can't do that for (sinx)^6 and Wolfram tells me to use a reduction formula which is not something I am supposed to know yet.

So can someone please help me to do this integral? It's not the actual problem I am doing but is part of the problem that I think I am stuck on. (My real homework problem is: the Integral of **(sinx)^4 * (cosx)^2** dx.

Any help would be greatly appreciated!

Thanks in advance!