If $\int e^x \sin x d x=\frac{1}{2} e^x \cdot a+c$, then $a=$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int e^x \sin x d x=\frac{1}{2} e^x \cdot a+c

, then

a=

View answer and explanation

Correct option: A

\sin x-\cos x

Option A (

\sin x-\cos x

) is correct because it is the result of solving the integral

\int e^x \sin x dx

using integration by parts twice and comparing with the given form.

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{C}

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