Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int((x-3)/(x^2-3x+-28))dx. Rewrite the expression \frac{x-3}{x^2-3x-28} inside the integral in factored form. Rewrite the fraction \frac{x-3}{\left(x+4\right)\left(x-7\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{7}{11\left(x+4\right)}+\frac{4}{11\left(x-7\right)}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{7}{11\left(x+4\right)}dx results in: \frac{7}{11}\ln\left(x+4\right).

Find the integral int((x-3)/(x^2-3x+-28))dx