$($c$){\displaystyle \underset{0}{\overset{1}{}}}tan(x)dx$

Since the function $y=tan(x)$ has an indinite discontinuty at $x=0,$ the integral is a Type $2$ improper integral.

Since the function $y=tan(x)$ has an infinite discontinuity at $x=\frac{1}{2},$ the integral is a Type $2$ improper integral

Since the function $y=tan(x)$ has an infinite discontinulty at $x=1,$ the integral is a Type $2$ improper integral.

Since the integral ${\displaystyle \underset{0}{\overset{1}{}}}tan(rx)$ dr has an intenite ineterval of integration, it is a Trpe $1$ improper integral.

Since the integral ${\displaystyle \underset{0}{\overset{1}{}}}tan(x)$ dr has an infinite interval of integration, it is a Trpe $2$ improper integral.

$($d$){\displaystyle \underset{-}{\overset{-1}{}}}\frac{e^x}{x}dx$

Since the function $y=\frac{e^x}{x}$ has an influlte discontinuty at $x=0,$ the integral is a Thee $1$ improper integral.

Since the function $y=\frac{e^x}{x}$ has an infinite discontinuty at $x=-1,$ the integral is a Troe $1$ improper integral.