The integral ${\displaystyle \underset{-1}{\overset{1}{}}}\frac{2}{x^3}dx$

$($a$)$ is a common definite integral and equals $0.$

$($b$)$ is a common definite integral and equals $2.$

$($c$)$ is an improper definite integral and equals $1.$

$($d$)$ is an improper definite integral and equals $-1.$

$($e$)$ is a divergent improper definite integral.