Integration by parts question

[opaque magnet]

answer is supposedly pi/2 - (pi^2)/8 + ln2 from the answers but i cannot find any method to get there, and am wondering if this question's difficulty is even intentional

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[opaque magnet]

the top limit is pi/2

[indigo hearth]

Take u = 2x^2, dv = csc(x)^2 cot(x)dx.

Note that you'll need to integrate by parts more than once.

[opaque magnet]

Thanks

+close