Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int(10/(x^2+10x))dx. Rewrite the expression \frac{10}{x^2+10x} inside the integral in factored form. Rewrite the fraction \frac{10}{x\left(x+10\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{1}{x}+\frac{-1}{x+10}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{1}{x}dx results in: \ln\left(x\right).

Find the integral int(10/(x^2+10x))dx