Question

Integrate:

${\int }_{-2}^3\frac{\left|x\right|}{x}dx$

Answer 1

${\int }_{-2}^3\frac{|x|}{x}$ $={\int }_{-2}^0(-1)d{x}^{+}{\int }_0^3\left(1\right)dx$

$=-2+3$

$=1$