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Integrate the functionse^x(sinx+cosx)...

Integrate the functions`e^x(sinx+cosx)`

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To solve the integral of the function \( e^x (\sin x + \cos x) \), we can break it down into two separate integrals. Let's go through the steps: ### Step-by-Step Solution: 1. **Split the Integral**: \[ \int e^x (\sin x + \cos x) \, dx = \int e^x \sin x \, dx + \int e^x \cos x \, dx \] ...
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