Learn how to solve problems step by step online. Find the integral int((3x-4)/((x+1)(x-2)))dx. Rewrite the fraction \frac{3x-4}{\left(x+1\right)\left(x-2\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{7}{3\left(x+1\right)}+\frac{2}{3\left(x-2\right)}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{7}{3\left(x+1\right)}dx results in: \frac{7}{3}\ln\left(x+1\right). The integral \int\frac{2}{3\left(x-2\right)}dx results in: \frac{2}{3}\ln\left(x-2\right).

Find the integral int((3x-4)/((x+1)(x-2)))dx