Question Number 76955 by behi83417@gmail.com last updated on 01/Jan/20
![∫ (x^p /(√(1±x^q ))) dx=? [p+q=2n∈N,p<q]](Q76955.png)
$$\int\:\:\frac{\boldsymbol{\mathrm{x}}^{\boldsymbol{\mathrm{p}}} }{\sqrt{\mathrm{1}\pm\boldsymbol{\mathrm{x}}^{\boldsymbol{\mathrm{q}}} }}\:\boldsymbol{\mathrm{dx}}=?\:\:\:\:\left[\boldsymbol{\mathrm{p}}+\boldsymbol{\mathrm{q}}=\mathrm{2}\boldsymbol{\mathrm{n}}\in\boldsymbol{\mathrm{N}},\boldsymbol{\mathrm{p}}<\boldsymbol{\mathrm{q}}\right] \\ $$