DEFINITION 7.1.1 Laplace Transform
Let f be a function defined for t ≥ 0. Then the integral L{f(t)} = ∫ e^(-st)f(t) dt from 0 to ∞ is said to be the Laplace transform of f, provided that the integral converges.
To find L{f(t)}, where f(t) = e^(-t)sin(t), the Laplace transform is given by:
L{f(t)} = _____ (s > -1)