integral of ((1+sin(2x))^0.5)/(sin(x)^2)

Question

I tried all kind of substitution, simplification but unable to solve it.Need a hint only no solution please.

Answer 1

start off with

u^2 = 1+sin(2x)
2u du = 2cos(2x) dx

See where you get with that, and come on back with your work if you get stuck.

recall that cos(2x) = 1-2sin^2(x)