# Step-by-step Solution

## Integral of $\frac{x^2-4}{x}$ with respect to x

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### Videos

$\frac{1}{2}x^2-4\ln\left|x\right|+C_0$

## Step-by-step explanation

Problem to solve:

$\int\frac{x^2-4}{x}dx$
1

Split the fraction $\frac{x^2+-4}{x}$ in two terms with same denominator ($x$)

$\int\left(\frac{x^2}{x}+\frac{-4}{x}\right)dx$
2

Simplifying the fraction by $x$

$\int\left(x+\frac{-4}{x}\right)dx$

$\frac{1}{2}x^2-4\ln\left|x\right|+C_0$
$\int\frac{x^2-4}{x}dx$

### Main topic:

Integrals of Rational Functions

~ 0.8 seconds

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