The Laplace Transform F(x) of a Function F (T $F ( x ) = \int _ { 0 } ^ { + \infty } f ( t ) e ^ { - x t } \mathrm {~d} t$

Multiple Choice

The Laplace transform F(x) of a function f (t ) is given by the formula. $F ( x ) = \int _ { 0 } ^ { + \infty } f ( t ) e ^ { - x t } \mathrm {~d} t$
Find $F ( x )$ if $f ( t ) = 8$ .

A) $\frac { 1 } { 8 x }$
B) $\frac { 8 } { x ^ { 2 } }$
C) $\frac { x } { 8 }$
D) $- \frac { x } { 8 }$
E) $\frac { 8 } { x }$