Integration (1 Viewer)

[YannY]

Anyone can help me integrate (arctan x)^n. If you think its impossible please prove that it is or dont waste forum space.

 

[Slidey]

I had a look with integration by parts and it's not doable. I'm not even sure it's possible to solve it when n is known.

Mathematica says that it can't find any integral: http://integrals.wolfram.com/index.jsp

It's not uncommon. For example, try to integrate x^x or sin(x)/ln(x).

 

[Affinity]

dont waste forum space.

It's trivial... write out the series expansion for arctan x - x^3/3 + x^5/5 ...
then convolute that n times
then integrate term by term.. and that will be your solution