To find the integral of \( e^{xy} \) with respect to \( y \), we will treat \( x \) as a constant. Here's the step-by-step solution:

1. **Integral Setup**:
   \[
   \int e^{xy} \, dy
   \]

2. **Integration**:
   - Let \( u = xy \), where \( x \) is a constant.
   - Then, \( du = x \, dy \) or \( dy = \frac{du}{x} \).

   Substituting \( u \) and \( du \) into the integral:
   \[
   \int e^{xy} \, dy = \int e^u \cdot \frac{du}{x} = \frac{1}{x} \int e^u \, du
   \]

3. **Integrate \( e^u \)**:
   \[
   \int e^u \, du = e^u
   \]

4. **

Learn how to find the integral of e^(xy) with respect to y step-by-step. This problem covers calculus concepts, specifically integration by substitution. Suitable for advanced high school or college students.

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