Question

If f(t) = 1, then its Laplace Transform is given by?

(a) s

(b) ^1⁄s

(c) 1

(d) Does not exist

The question was posed to me by my school teacher while I was bunking the class.

My question is based upon Existence and Laplace Transform of Elementary Functions topic in portion Laplace Transform of Engineering Mathematics

Answer 1

The correct choice is (b) ^1⁄s

For explanation: The Laplace Transform of a functions is given by

\(L\{f(t)\}=F(s)=\int_0^{\infty}f(t)e^{-st}dt\)

put f(t) = 1

On simplifying, we get ^1⁄s.