Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int((8x^2-44x+-16)/(x^3-9x^215x+25))dx. Rewrite the expression \frac{8x^2-44x-16}{x^3-9x^2+15x+25} inside the integral in factored form. Rewrite the fraction \frac{8x^2-44x-16}{\left(x+1\right)\left(x-5\right)^2} in 3 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{1}{x+1}+\frac{-6}{\left(x-5\right)^2}+\frac{7}{x-5}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{1}{x+1}dx results in: \ln\left(x+1\right).

Find the integral int((8x^2-44x+-16)/(x^3-9x^215x+25))dx