Find `inte^xsinxdx`

Explanation

To find the integral \( \int e^x \sin x \, dx \), we will use the method of integration by parts. Let's go through the steps in detail.

### Step 1: Set up integration by parts
We will use the formula for integration by parts:
\[ \int u \, dv = uv - \int v \, du \]
Here, we will choose:
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