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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
∫exsin⁡xdx=\int e^x \sin x d x=
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Correct option: B
12ex(sin⁡x−cos⁡x)+c\frac{1}{2} e^x(\sin x-\cos x)+c
Option B (12ex(sin⁡x−cos⁡x)+c\frac{1}{2} e^x(\sin x-\cos x)+c) is correct because it is the result of applying integration by parts twice to the integral of exsin⁡xe^x \sin x.

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