The integral you want to solve is:

\[
\int \left(-10e^x\right)dx
\]

### Solution:
The integral of \(e^x\) is itself \(e^x\). So we just apply this rule and handle the constant \(-10\).

\[
\int \left(-10e^x\right)dx = -10 \int e^x dx = -10e^x + C
\]

where \(C\) is the constant of integration.

### Final Answer:
\[
-10e^x + C
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the integral of \( e^{2x} \)?
2. How do you find the derivative of \( e^x \)?
3. What is the integral of \( \cos(x) \)?
4. How do constants affect integrals in general?
5. Can you explain integration by parts?

**Tip:** When integrating exponential functions, always remember that the derivative and integral of \( e^x \) are both \( e^x \), making them very straightforward!

Learn how to solve the integral \int (-10e^x) dx using basic integration rules. This problem focuses on calculus, specifically the integral of exponential functions. The detailed solution includes key formulas and is suitable for students in Grades 11-12 or early college.

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