Learn how to solve problems step by step online. Find the integral int((x-2)/(3x+6))dx. Expand the fraction \frac{x-2}{3x+6} into 2 simpler fractions with common denominator 3x+6. Expand the integral \int\left(\frac{x}{3x+6}+\frac{-2}{3x+6}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{x}{3x+6}dx results in: \frac{1}{3}x+\frac{2}{3}-\frac{2}{3}\ln\left(3x+6\right). Gather the results of all integrals.

Find the integral int((x-2)/(3x+6))dx