# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\int\frac{3}{x^2+3x}dx\:$

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

$\int\frac{3}{x\left(x+3\right)}dx$

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

$\ln\left|x\right|-\ln\left|3+x\right|+C_0$

### Problem Analysis

$\int\frac{3}{x^2+3x}dx\:$

### Main topic:

Integrals of Rational Functions

~ 7.42 seconds