JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

Let

\int e^x\left\{f(x)-f^{\prime}(x)\right\} d x=\phi(x)

. Then,

\int e^x f(x) d x

is equal to

View answer and explanation

Correct option: C

\frac{1}{2}\left\{\phi(x)+e^x f(x)\right\}

Option C is correct because it involves using the given integral and the known integral of e^x(f(x) + f'(x)) to find the required integral.

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