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∫ dx x^2 /( 1+x^2) u = x dv =x /(1+x^2) so ∫ dx x^2 /( 1+x^2) = x log(1+x^2) -∫ dx log(1+x^2) ...stop I also tried u = x^2 dv = 1 /(1+x^2) so ∫ dx x^2 /( 1+x^2) = x^2 atan(x) -∫ dx 2x atan(x) ...stop

I would like to know the step by step solution of this integral: ∫ dx x^2 /( 1+x^2) I tried to solve it integrating by parts with u = x dv =x /(1+x^2) , or with hyperbolic functions, but I always get stuck... Thank you

Hello, I have to create the CMB multipole map from a Planck Data Map with Healpix routines on IDL, and I just don't got a clue of how it must be done! Can anybody help me?Thanks! physfed