Jawabanmu

2014-08-29T19:47:32+07:00
\int\ cos^{4}2xsin2xdx
=> \int\ cos^{4}2x+\int\ sin2xdx
=> \int\ (cos^{2}2x)(cos^{2}2x)dx + \int\ 2sinxcosxdx
=> \int\ cos^{2}2xdx + \int\ cos^{2}2xdx + \int\ 2dx + \int\ sinxdx + \int\ cosxdx
=> 4\int\ cosxdx - 4\int\ 1dx + 4\int\ 2dx + \int\ sinxdx + \int\ cosxdx
=> 4(-sinx)-4(x)+4(2x)+cosx-sinx=-5sinx+cosx+4x+C

Semoga membantu
4 2 4
misal u=cos2x,maka dx=du/-2sin2x
kemudian subtitusi ke pertama menjadi: |u^4du/-2,sehingga -1/2|u^4du=>-1/10(cos2x)^5