Evaluate the given Laplace transform without evaluating the integral.
Step 11 of 2
Laplace transform of given function is
According to convolution theorem
Where and be piecewise continuous on and of exponential order. Thus
Since, we know and
Step 11 of 8
The objective is to determine the Laplace Transform of without evaluating the integral from the definition.
Which properties of Laplace Transforms, and which known Laplace Transforms can be used to our advantage?