How do I evaluate this trigonometric integral involving cosine?

[whatlifeforme]

Homework Statement

evaluate the integral.

Homework Equations

integral (pi/6 to pi/4) [(sin2x)^4 / sqrt(1-cos2x) dx]

The Attempt at a Solution

1. multiplying by conjugate: sqrt(1+cos2x)/sqrt(1+cos2x) .
2. should i split the (sin2x)^4 into (1-(cos2x)^2)^2 ?

 

[LCKurtz]

This problem is very similar to the one in your post https://www.physicsforums.com/showthread.php?t=673873, to which I have responded. Why don't you follow up on that thread first?