Learn how to solve problems step by step online. Integrate the function 5/((x-1)(x+5)) from 2 to infinity. Rewrite the fraction \frac{5}{\left(x-1\right)\left(x+5\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{5}{6\left(x-1\right)}+\frac{-5}{6\left(x+5\right)}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{5}{6\left(x-1\right)}dx results in: \frac{5}{6}\ln\left(x-1\right). The integral \int\frac{-5}{6\left(x+5\right)}dx results in: -\frac{5}{6}\ln\left(x+5\right).

Integrate the function 5/((x-1)(x+5)) from 2 to infinity