JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Understanding +4 | -1

\int \,\,{e^x}\,\,\left[ {f\left( x \right) + f'\left( x \right)} \right]\,\,dx

is equal to

View answer and explanation

Correct option: A

{e^x}f\,\,\left( x \right) + c

Option A (

{e^x}f\,\left( x \right) + c

) is correct because the integral of

{e^x}[f(x) + f'(x)] dx

results in

{e^x}f(x) + c

using integration by parts.

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