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tan(x/2).(cosec x + cot x)^2

I've tried every method of integration that I know and I can't get it. Is it actually possible to integrate the expression?

If it's any help, this problem is part of the further maths A-level and the original problem was:

Find the general solution of the differential equation dy/dx - 2y.cosec x = tan(x/2), 0<x<pi

I got to the integral I'm stuck on by using an integrating factor of (cosec x + cot x)^2, so that the LHS became the derivative of y(cosec x + cot x)^2 (and therefore y(cosec x + cot x)^2 = integral[tan(x/2).(cosec x + cot x)^2]dx ).

P.S. Sorry if the above isn't very clear, since I don't know how to get mathematical symbols on these boards.