Learn how to solve problems step by step online. Find the integral int((x+2)/(x(x+54)))dx. Rewrite the fraction \frac{x+2}{x\left(x+54\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{1}{27x}+\frac{26}{27\left(x+54\right)}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{1}{27x}dx results in: \frac{1}{27}\ln\left(x\right). The integral \int\frac{26}{27\left(x+54\right)}dx results in: \frac{26}{27}\ln\left(x+54\right).

Find the integral int((x+2)/(x(x+54)))dx