Learn how to solve problems step by step online. Find the integral int((7x-36)/(x^2-10x+24))dx. Rewrite the expression \frac{7x-36}{x^2-10x+24} inside the integral in factored form. Rewrite the fraction \frac{7x-36}{\left(x-4\right)\left(x-6\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{4}{x-4}+\frac{3}{x-6}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{4}{x-4}dx results in: 4\ln\left(x-4\right).

Find the integral int((7x-36)/(x^2-10x+24))dx