JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

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

View answer and explanation

Correct option: A

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

Option A is correct because the integral can be expressed in the form

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

, where

f(x) = \frac{x-1}{x+1}

and

f'(x) = \frac{2}{(x+1)^2}

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