Find ∫x ex2(1+ex2)2 dx\displaystyle \int \frac{x\,e^{x^2}}{\bigl(1 + e^{x^2}\bigr)^{2}}\,dx.

Mathematics

Problem

Find ∫x ex2(1+ex2)2 dx\displaystyle \int \frac{x\,e^{x^2}}{\bigl(1 + e^{x^2}\bigr)^{2}}\,dx.

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