How do I integrate 0.5sin^2(2x)cos(x) ? It's an AQA past question and I don't understand the mark scheme!
I did this question the other day! Yep, using the double angle formula for sin2x , squaring that all out, giving cos^3(x)sin^2(x) then replacing two of the cos(x)'s ( so cos^2(x)) with 1- sin^2(x), multiplying that out then you can integrate to give it in terms of sin^n(x) 's. If that makes sense.
I did this question the other day! Yep, using the double angle formula for sin2x , squaring that all out, giving cos^3(x)sin^2(x) then replacing two of the cos(x)'s ( so cos^2(x)) with 1- sin^2(x), multiplying that out then you can integrate to give it in terms of sin^n(x) 's. If that makes sense.