Laplace transform of t^2

1. What is the definition of Laplace transform of f/t )= 2?
2. Does Laplace transform of 1 t2 exist?
3. What is the Laplace equivalent of T 3?

What is the definition of Laplace transform of f/t )= 2?

Definition of Laplace Transform of f(t)

The Laplace transform ℒ, of a function f(t) for t > 0 is defined by the following integral over 0 to ∞: ℒ f(t)=∫0∞e−stf(t)dt. The resulting expression is a function of s, which we write as F(s). In words we say.

Does Laplace transform of 1 t2 exist?

No, it doesn't exist.

What is the Laplace equivalent of T 3?

ANSWERS t^3 = 3 / 2.