JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

The value of

\int e^x\left[\frac{x+2}{x+4}\right]^2 d x

is equal to

View answer and explanation

Correct option: A

\frac{e^x x}{x+4}+c

Option A is correct because the integral can be simplified and solved by recognizing the form

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

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