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Given that int e^x[f(x)+f^'(x)] dx = e^x...

Given that `int e^x[f(x)+f^'(x)] dx = e^x f(x)+c`. By writing `int e^x(sinx+cosx)dx = int e^x sinxdx+ int e^x cosx dx` and applying integration by parts in the first integral, evaluate `int e^x(sinx+cosx)dx`

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