anyone knows how to do
∫x/(sin2x) dx?

Question

anyone knows how to do 
∫x/(sin2x) dx?

anonymous · Answer

callisto · Answer

it's not ugly... but very ugly...no other ways except the answer from wolf?

anonymous · Answer

never even heard of a polylogarithm until wolf.

anonymous · Answer

Yikes, that is one ugly integral.  Haha, I'm looking at the definition of a polylogarithmic function and still am clueless.

callisto · Answer

so I can't do it at my level?

anonymous · Answer

callisto · Answer

but the function is different already :(

anonymous · Answer

@dpaInc I guess that is the question.  $$\sin ^{2}(x) $$ or $$sin(2x)$$

callisto · Answer

sin2x

anonymous · Answer

even replacing sin2x with trig identities i cant do it. but this is also doable... http://www.wolframalpha.com/input/?i=integrate+x*%28sin2x%29+dx

anonymous · Answer

hmm, well after some trig identities I got up to $$\int\limits x \sec(x) \csc(x) dx$$

Outside of that, I'm stuck.  Hard problem.