As the title says, I need help with Integrate (sin(x))^2(cos(x))^2
I get thet I need to use the half- angle formula, but do I use it on both sin(x)^2 and cos(x)^2? And where do I go from there. Much appreciated!
Alternatively, you could first use the Pythagorean identity, to get everything into terms of either sine or cosine. Then you could apply the half-angle formula twice. I don't think this would be any easier, but it is certainly valid.