If $\int g(x) d x=g(x)$, then $\int g(x)\left(f(x)+f^{\prime}(x)\right) d x$ is-

$g(x) f(x)-g(x) f^{\prime}(x)+c$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int g(x) d x=g(x)

, then

\int g(x)\left(f(x)+f^{\prime}(x)\right) d x

is-

View answer and explanation

Correct option: D

g(x) f(x)+c

Option D (

g(x) f(x)+c

) is correct because integrating by parts simplifies the expression to this result, given that

\int g(x) dx = g(x)

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