JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \frac{(2 x+1) e^x}{(2 x+3)^2} d x

is equal to

View answer and explanation

Correct option: D

\frac{e^x}{2 x+3}+c

Option D is correct because the integral can be rewritten in the form

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

, which simplifies to

e^x f(x) + c

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