JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{(x+3) e^x}{(x+4)^2} d x=

View answer and explanation

Correct option: C

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

Option C (

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

) is correct because the integral can be simplified and solved using integration by parts or by recognizing the form

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

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