ok so i got this problem from and A level Past Paper, and i've been trying to solve it for quite a long time.. to no avail... i've got a feeling it's soooo easy, but nonetheless the answer just keeps eluding me... and the question goes something like this

Use the substitution t = tan(x) to find

∫(1/(cos(2x)-3(sin(x))^2))

I've been trying all sorts of trig identities.. still haven't managed to solve it xD

any help would be greatly appreciated

thank you

p.s. Sry about the layout xD