Question

The integral $ \int e^x \left( \frac{x + 5}{(x + 6)^2} \right) dx $ is:

• A. \( \frac{e^x}{x + 6} \)
• B. \( -\frac{e^x}{x + 6} \)
• C. \( \frac{e^x}{(x + 6)^2} \)
• D. \( -\frac{e^x}{(x + 6)} \)

Hint:

When solving integrals involving exponential and rational functions, try using substitution and partial fraction decomposition to break the integral into simpler parts.