Question:medium

The value of $ \int e^{x(\sin x + \cos x)} \, dx $ is:

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Recognizing this $e^x$ pattern can save you from a lengthy integration by parts.

Updated On: Apr 8, 2026

$e^{x} \cos x + c$
$e^{x} \sin x + c$
$-e^{x} \sin x + c$
$e^{x} (\sin x - \cos x) + c$

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The Correct Option is B

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The value of \( \int e^{x(\sin x + \cos x)} \, dx \) is:

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The Correct Option is B

Solution and Explanation

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