In problem use Theorem 7.4.2 to evaluate the given Laplace transform. Do not evaluate the integral before transforming. {1* t 3 } Theorem 7.4.2 If

In problem use Theorem 7.4.2 to evaluate the given Laplace transform. Do not evaluate the integral before transforming.

ℒ{1* t³}

Theorem 7.4.2

If f(t) and g(t) are piecewise continuous on [0, ∞) and of exponential order, then

L{f* g} = {f(1)) L{g(1)} = F(s) G(s). %3D