thanks for your reply
i hav tried a similar approach
but when
we hav to start with
and the integration of it
i hav checked with some integration tables
but there is only reduction formula available
i wonder how to get a "more closed" form of the integral
or if there is any other way to find the sum of tht series
If you enter the integrand into the Wolfram integrator (make sure you use x, not u as your integration variable), you'll get a closed form for the indefinite integral. Now evaluate the definite integral.