JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1

\int \frac{e^{x^2}\left(2 x+x^3\right)}{\left(3+x^2\right)^2} d x

is equal to:

View answer and explanation

Correct option: D

\frac{1}{2} \frac{e^{x^2}}{\left(3+x^2\right)}+c

The correct answer is D (

\frac{1}{2} \frac{e^{x^2}}{\left(3+x^2\right)}+c

) because the integral can be solved by recognizing a pattern related to the derivative of

e^{x^2}

and applying appropriate simplification.

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