Learn how to solve integrals of rational functions problems step by step online. Find the integral int(x/(x^2-2x+-24))dx. Rewrite the expression \frac{x}{x^2-2x-24} inside the integral in factored form. Rewrite the fraction \frac{x}{\left(x+4\right)\left(x-6\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{2}{5\left(x+4\right)}+\frac{3}{5\left(x-6\right)}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{2}{5\left(x+4\right)}dx results in: \frac{2}{5}\ln\left(x+4\right).

Find the integral int(x/(x^2-2x+-24))dx