## Step-by-step explanation

Problem to solve:

Learn how to solve definite integrals problems step by step online.

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

Learn how to solve definite integrals problems step by step online. Integrate 1/(x(x+1)) from 1 to 2. Rewrite the fraction \frac{1}{x\left(x+1\right)} in 2 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B. The first step is to multiply both sides of the equation from the previous step by x\left(x+1\right). Multiplying polynomials. Simplifying.