Learn how to solve improper integrals problems step by step online. Integrate the function (x-1)/(x^2+2x) from 6 to 6. Rewrite the expression \frac{x-1}{x^2+2x} inside the integral in factored form. Rewrite the fraction \frac{x-1}{x\left(x+2\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int_{6}^{6}\left(\frac{-1}{2x}+\frac{3}{2\left(x+2\right)}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{6}^{6}\frac{-1}{2x}dx results in: 0.

Integrate the function (x-1)/(x^2+2x) from 6 to 6