Learn how to solve integrals of rational functions problems step by step online. Find the integral int((x-3)/(2x+1))dx. Expand the fraction \frac{x-3}{2x+1} into 2 simpler fractions with common denominator 2x+1. Expand the integral \int\left(\frac{x}{2x+1}+\frac{-3}{2x+1}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{x}{2x+1}dx results in: \frac{1}{2}x+\frac{1}{4}-\frac{1}{4}\ln\left(2x+1\right). Gather the results of all integrals.

Find the integral int((x-3)/(2x+1))dx