If ft is continuous for the Laplace Transform of f is the fu

If f(t) is continuous for the Laplace Transform of f is the function F defined by and the domain of F is the set consisting of all numbers s for which the integral converges. Find the Laplace transforms of the following functions. f(t) = 22 F(s) = with domain {s| } f(t) = 30 et F(s) = with domain {s| } f(t) = 20t F(s) = with domain {s| }

Solution

(22/s) , s is an element of complex space less s=0

(30/(s-1)), s is an element of complex space less s=1

20/s², s is an element of complex space less s=0