JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

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

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Correct option: D

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

Option D (

e^x\left(\frac{x-1}{x+1}\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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