Integral of x cotan (x) dx from 0 to pi/2

Please solve using all steps. thanks!!

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- May 28th 2010, 10:30 AMcalifsurferboy33Integral of x cotan (x) dx from 0 to pi/2
Integral of x cotan (x) dx from 0 to pi/2

Please solve using all steps. thanks!! - May 28th 2010, 11:31 AMgalactus
Did you try doing this 'under the Integral'?. This one is often done that way.

Now, integrate w.r.t a. Then, let a=1 to finish line.

This is a cool method. Learn about 'differentiating under the integral sign'.

You can probably find it somewhere.