JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

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\}+c

Option C is correct because by integrating

e^x(f(x) + f'(x))

and

e^x(f(x) - f'(x))

and adding the results, we can isolate the integral of

e^x f(x)

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