1. Tardigrade
  2. Question
  3. Mathematics
  4. The value of the integral ∫ limits-aa (xex2/1+x2) dx is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The value of the integral $\int\limits_{-a}^{a} \frac{xe^{x^2}}{1+x^{2}} dx $ is

WBJEEWBJEE 2008Integrals

Solution:

Since, $\frac{xe^{x^2}}{1+x^{2}}$ is an odd function.

$\therefore \int\limits_{-a}^{a} \frac{xe^{x^2}}{1+x^{2}} dx =0$