Question

\[ \int \left[ f'(x) \left( g(x) \right)^2 \right] dx \] is equal to:

• A. \( \left[ f(x) \right]^2 \)
• B. \( f(x)g(x) \)
• C. \( f(x)g(x) \)
• D. None of these

Hint:

To evaluate integrals involving products, use integration by parts to simplify the expressions.

Answer 1

The Correct Option is D

The given integral needs to be evaluated using integration by parts. The solution requires splitting the integral into simpler parts.
Final Answer: \[ \boxed{\text{None of these}} \]