## Step-by-step explanation

Problem to solve:

Learn how to solve integrals of rational functions problems step by step online.

$\frac{1}{x\left(x+1\right)\left(2x+3\right)}=\frac{A}{x}+\frac{B}{x+1}+\frac{C}{2x+3}$

Learn how to solve integrals of rational functions problems step by step online. Integral of 1/(x(x+1)*(2x+3)) with respect to x. Rewrite the fraction \frac{1}{x\left(x+1\right)\left(2x+3\right)} 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 x\left(x+1\right)\left(2x+3\right). Multiplying polynomials. Simplifying.