JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int {{e^x}\left( {4{x^2} + 8x + 3} \right)dx}

is equal to

View answer and explanation

Correct option: C

\left( {4{x^2} + 3} \right){e^x} + k

Option C (

\left( {4{x^2} + 3} \right){e^x} + k

) is correct because the integral can be solved by recognizing a pattern of the form

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

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