Question

Evaluate the integral \( \int \frac{x}{x^2 + 1} dx \):

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

Hint:

Tip: When the numerator is the derivative of the denominator (or almost), try substitution and look for the natural log form.