Learn how to solve radical expressions problems step by step online. Find the integral int((4x-1)/((x+4)(x-2)))dx. Rewrite the fraction \frac{4x-1}{\left(x+4\right)\left(x-2\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{17}{6\left(x+4\right)}+\frac{7}{6\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{17}{6\left(x+4\right)}dx results in: \frac{17}{6}\ln\left(x+4\right). The integral \int\frac{7}{6\left(x-2\right)}dx results in: \frac{7}{6}\ln\left(x-2\right).

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