JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int\left(\frac{x+2}{x+4}\right)^2 e^x d x

is equal to

View answer and explanation

Correct option: A

e^x\left(\frac{x}{x+4}\right)+c

Option A (

e^x\left(\frac{{x}}{{x+4}}\right)+c

) is correct because the integral can be solved by simplifying the expression and applying the rule

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

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