Integrate the following functions `sqrt(sin2x) cos2x`

Explanation

Let sin2x = t
Then `dt = cos2x xx 2 dx`
`gt cos2x dx = 1/2 dt`
therefore` int sqrt(sin2x) cos2x dx = int sqrtt 1/2 dt`
`1/2 xx t^(1/2+1)/(1/2+1) +c`
`1/3t^(3/2) +c = 1/3 (sin2x)^(3/2) +c`