Here is an integral I have been wrestling with. Does anyone have a technique?.

I have attempted many different ways, but always get stuck.

I have tried all sorts of series, gamma/beta, etc.

I know there is a in the solution, but getting there..

Kriz?. PaulRS?.

Commutative on SOS posed this:

Just plain ln(sinx) isn't a problem, but that x tacked on.....

I tried various series which are equaivalent:

Making a u sub gives:

I found others as well, but I will stop here for now.

I get a good ways through it, but then hit a wall.

This has been bugging me. Anyone have some clever way.

Personally, I like the gamma/beta thing, but anyway will do.

Some workings may be found here:

http://www.mathhelpforum.com/math-he...tegrals-3.html