Here is the question:
F(t) = {
0, t<4
5 sin(pi * t) 4<=t<5
0, t>=5
How do I find the Laplace transformation of this function?
My answer is (5pi/(s^2+pi^2))(e^(-4s)-e^(-5s)) but it's wrong..
help plz!!
The definition of the Laplace transform of a function is
For this particular function we have:
The first and third integral terms above are equal to , so the Laplace transform would be
Now, using integration by parts, I got the answer:
I kinda rushed through the integration, so check for yourself what the integral equates to.