Learn how to solve problems step by step online. Find the integral int(x/((x+4)(x-9)))dx. Rewrite the fraction \frac{x}{\left(x+4\right)\left(x-9\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{4}{13\left(x+4\right)}+\frac{9}{13\left(x-9\right)}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{4}{13\left(x+4\right)}dx results in: \frac{4}{13}\ln\left(x+4\right). The integral \int\frac{9}{13\left(x-9\right)}dx results in: \frac{9}{13}\ln\left(x-9\right).

Find the integral int(x/((x+4)(x-9)))dx