Let$$ f$($t$)$ be a function on$[0,$

infinity$).$

The Laplace transform of f is the function F defined by the integral

$$F$($s$)$equals$=$Integral from $0$ to infinity e Superscript negative st Baseline f left parenthesis t right parenthesis dt$0$e$$stf$($t$)$dt$.$

Use this definition to determine the Laplace transform of the following function.

$$f$($t$)$equals$=$StartSet Start $2$ By $2$ Matrix $1$st Row $1$st Column $14$ minus t comma $2$nd Column $0$ less than t less than $142$nd Row $1$st Column $0$ comma $2$nd Column $14$ less than t EndMatrix

$14$t$,0$