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

Integral of (x^2-4)/x

Answer

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

Step-by-step explanation

Problem

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

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

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

Unlock this step-by-step solution!

Answer

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

Main topic:

Integral calculus

Used formulas:

2. See formulas

Time to solve it:

~ 0.28 seconds