Question

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

• A. $e^{a^2}$
• B. $0$
• C. $e^{-a^2}$
• D. $a$

Answer 1

Answer: (B)

$0$

Answer 2

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