Evaluate : `inte^(2x)*(-sinx+2cosx)dx`.

Explanation

To evaluate the integral \( \int e^{2x} (-\sin x + 2\cos x) \, dx \), we can break it down step by step.

### Step 1: Rewrite the Integral
We start with the integral:
\[ I = \int e^{2x} (-\sin x + 2\cos x) \, dx \]
This can be split into two separate integrals:
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