# DEFINITION The Laplace Transform Given a function f(t) defined for all t≥0, the Laplace transform of f is the function F defined as follows: F(s) = £{f(1)} = √e f(1) dt for all values of s for which the improper integral converges. Recall that an improper integral over an infinite interval is defined as a limit of integrals over bounded

**Related Book For**

## Calculus Early Transcendentals

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

ISBN: 978-0321947345