Are you sure that's the integrand? Mathematica gives
I wouldn't expect polylogs to show up in a regular calculus class. Or is this advanced calculus?
How would one tackle the above problem? The numerator in the second term looks like an integration by parts but how is that handled with the denominator? A clue would be good for me to get started.
I have tried substitution but the x in the numerator gets in the way of du etc.
No its just regular calculus. I am actually looking at solving a linear differential equation of first oder..
dy/dx -ytanx = cosx-2xsinx. I belive this is of the form dy/dx+Py=Q where P and Q are functions of x hence one could use the integrating factor method
I think I have made an error with the signs....probably why I arrived at a difficult integral.
I will look at it again and keep you posted. Thanks for your interest.