Question

$$ \int e^x \left( \log x + \frac{1}{x^2} \right) dx = ? $$

• A. $e^x \left\{ \log x - \frac{1}{x} \right\} + c$
• B. $e^x \left( \log x + \frac{1}{x} \right) + c$
• C. $e^x \{ \log x \} + c$
• D. None

Hint:

When an integrand with $e^x$ doesn't immediately show a function and its derivative, look for "hidden" pairs by adding and subtracting terms like $1/x$, $1/x^2$, or trigonometric functions.

Answer 1

The Correct Option is A