The value of the integral $\mathop \smallint \nolimits_{ - a}^a \,\,\frac{{x{e^x}^2}}{{1 + {x^2}}}\,\,dx$ is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

The value of the integral

\int \nolimits_{ - a}^a \,\,\frac{{x{e^x}^2}}{{1 + {x^2}}}\,\,dx

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Correct option: B

Option B (0) is correct because the integrand is an odd function, and the integral is evaluated over a symmetric interval.

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