11. Integrals of Inverse, Exponential, & Logarithmic Functions

11. Integrals of Inverse, Exponential, & Logarithmic Functions / Integrals Involving Logarithmic Functions / Problema 5

Problema 5

Evaluate the integral \( \int \frac{x}{x^2 + 1} \, dx \) by choosing an appropriate substitution.

\( \frac{x^2}{2} + C \)

\( \ln |x| + C \)

\( \arctan(x) + C \)

\( \frac{1}{2} \ln |x^2 + 1| + C \)