Question

Help with the following integral:
∫(from 0 to pi/2) sin^2(x) cos^2(x)

sorry I don't really know how to write integrals down on the computer :/

Answer 1

I got to this point : sin^2(x) (1+cos^(x) /2 )

Answer 2

change that into sin2x

Answer 3

Well I can get 1/2 sin2x with (sinxcosx)^2 would that work?

Answer 4

no ... there is square again.

Answer 5

but (sinxcosx)^2 = (1/2sin2x)^2 = 1/4(sin^2(2x))?

Answer 6

yes ... but still that will not work.
there is square ... but we can change it into cos4x

Answer 7

Yeah I see it.. using basic trig! thanks :)