JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int e^x \frac{(1-x)^2}{\left(1+x^2\right)^2} d x=

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Correct option: C

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

Option C (

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

) is correct because the integral is solved using the form

\int e^x [f(x) + f'(x)] dx = e^x f(x) + c

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