Question

Laplace of function f(t) is given by?

(a) F(s)=\(\int_{-\infty}^\infty f(t)e^{-st} \,dt\)

(b) F(t)=\(\int_{-\infty}^\infty f(t)e^{-t} \,dt\)

(c) f(s)=\(\int_{-\infty}^\infty f(t)e^{-st} \,dt\)

(d) f(t)=\(\int_{-\infty}^\infty f(t)e^{-t} \,dt\)

This question was addressed to me by my school teacher while I was bunking the class.

Origin of the question is Laplace Transform by Properties in section Laplace Transform of Engineering Mathematics

Answer 1

Right choice is (a) F(s)=\(\int_{-\infty}^\infty f(t)e^{-st} \,dt\)

The explanation: Laplace of function f(t) is given by

F(s)=\(\int_{-\infty}^\infty f(t)e^{-st} \,dt\).