Laplace Transforms of Standard Function:
1. Laplace Transform of a Constant:
Let f(t) = a, where a is constant. Then from the definition of Laplace transform, we get;
2. Laplece Transform of eat
Substituting f (t) = eat in the definition of Lplace transform, we get;
Replacing a by -a, we get
3. Laplace transform of sin h at.
We have;