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You’ve provided an image asking to find the integral of \( \int (e^x - x) \, dx \). Let's solve this step by step:

### Step-by-Step Solution:

\[
\int (e^x - x) \, dx = \int e^x \, dx - \int x \, dx
\]

1. **Integral of \( e^x \):**
   \[
   \int e^x \, dx = e^x
   \]

2. **Integral of \( x \):**
   \[
   \int x \, dx = \frac{x^2}{2}
   \]

### Final result:
\[
\int (e^x - x) \, dx = e^x - \frac{x^2}{2} + C
\]
where \( C \) is the constant of integration.

Would you like any further clarification or more details? 

Here are 5 related questions you might find helpful:
1. How do you approach integration by parts, and when is it necessary?
2. How do you handle integrals with more complex exponential functions?
3. Can you explain the difference between definite and indefinite integrals?
4. What is the significance of the constant of integration, and how do you determine it in definite integrals?
5. How do you solve integrals involving both exponentials and trigonometric functions?

**Tip:** When integrating, always try to break down the expression into simpler terms if possible, as it can make solving the integral easier.

Learn how to find the integral of the function e^x - x. This step-by-step guide covers key calculus concepts, such as the integration of exponential and polynomial functions, suitable for high school and university students.

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