Learn how to solve combining like terms problems step by step online. Find the integral int((x+3)/(x^2+5x+-6))dx. Rewrite the expression \frac{x+3}{x^2+5x-6} inside the integral in factored form. Rewrite the fraction \frac{x+3}{\left(x-1\right)\left(x+6\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{4}{7\left(x-1\right)}+\frac{3}{7\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{4}{7\left(x-1\right)}dx results in: \frac{4}{7}\ln\left(x-1\right).

Find the integral int((x+3)/(x^2+5x+-6))dx