If $\int x e^x \cos x d x=(x)+c$, then $f(x)$ is equal to

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int x e^x \cos x d x=(x)+c

, then

f(x)

is equal to

View answer and explanation

Correct option: A

\frac{e^x}{2}\{(1-x) \sin x-x \cos x\}

Option A is correct because the integral can be solved by considering the real part of a complex exponential and using integration by parts.

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