For , more than one substitution is possible. State the substitution that yields an…

MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals

Problem

For

\displaystyle \int \frac{x\,e^{x^{2}}}{(1+x^{2})^{2}}\,dx

, more than one substitution is possible. State the substitution that yields an integrand involving only rational powers of

u

multiplied by

e^{u}

, resulting in the quickest path to an antiderivative.