Question

Evaluate the integral \( \int x e^{x^2} dx \):

• A. \( \frac{1}{2} e^{x^2} + C \)
• B. \( e^{x^2} + C \)
• C. \( \frac{1}{2} x e^{x^2} + C \)
• D. \( x^2 e^{x^2} + C \)

Hint:

Key Fact: Look for substitution opportunities when the integrand includes a function and its derivative.