Question:

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

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Check by differentiation when in doubt.
Updated On: Jan 5, 2026
  • \(e^x\sin x + C\)
  • \(e^x\cos x + C\)
  • \(e^x\sin x-e^x\cos x + C\)
  • \(e^x(\sin x+\cos x)+C\)
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The Correct Option is A

Solution and Explanation

Differentiate \(e^x\sin x\) to verify.
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