## Step-by-step explanation

Problem to solve:

Learn how to solve integrals by partial fraction expansion problems step by step online.

$\int\frac{7x^2-9x+2}{\left(x^2+1\right)\left(x-3\right)^2}dx$

Learn how to solve integrals by partial fraction expansion problems step by step online. Integral of (-x^2+8x^2-9x+2)/((x^2+1)(x-3)^2) with respect to x. Adding -1x^2 and 8x^2. Rewrite the fraction \frac{7x^2-9x+2}{\left(x^2+1\right)\left(x-3\right)^2} in 3 simpler fractions using partial fraction decomposition. Find the values of the unknown coefficients. The first step is to multiply both sides of the equation by \left(x^2+1\right)\left(x-3\right)^2. Multiplying polynomials.