How does the integral of (8sin^2 x)(cos^3 x) dx become the integral of (8sin^2 x)(1-sin^2 x) dsinx?
I understand that cos^2 x= 1-sin^2 x but thats about it?
It can't be true, because using cos^2 x= 1-sin^2 x, if you multiply each term by cosx then you'd get cos^3x on the left hand side, which you subistiture for what's in the RHS, so the sinx at the end of your last line should be a cosx
Can you post the full question?
Edit: I've no idea about anything - see below. Thennotation of dsinx has caught me out.
It can't be true, because using cos^2 x= 1-sin^2 x, if you multiply each term by cosx then you'd get cos^3x on the left hand side, which you subistiture for what's in the RHS, so the sinx at the end of your last line should be a cosx