Learn how to solve trigonometric integrals problems step by step online. Find the integral int((x+4)/(x^2+x+-6))dx. Rewrite the expression \frac{x+4}{x^2+x-6} inside the integral in factored form. Rewrite the fraction \frac{x+4}{\left(x-2\right)\left(x+3\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{6}{5\left(x-2\right)}+\frac{-1}{5\left(x+3\right)}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{6}{5\left(x-2\right)}dx results in: \frac{6}{5}\ln\left(x-2\right).

Find the integral int((x+4)/(x^2+x+-6))dx