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

Hint:

When dealing with complex integrals, look for substitution opportunities or integration by parts to simplify the expression.