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Evaluate: ∫ e^x (sin x + cos x) dx

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Evaluate: ∫ ex (sin x + cos x) dx

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∫ ex (sin x + cos x) dx 

We know that, 

∫ ex [f(x) + f'(x)] dx = ex f(x) + c 

Here, f(x) = sin x 

= f'(x) = cos x 

Thus, ∫ ex (sin x + cos x) dx = ex sin x + c

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