00:01
So, here we are given that let us suppose f be defined for t greater than equals to 0, while we are given the laplace transform of the function f of t, this can be equals to integration 0 to infinity e to the power minus s t f of t dt.
00:25
So, it is said that laplace transform of f provides the integral converges to find the laplace transform of f of t.
00:34
So, we are given the function f of t is equals to t square e to the power minus of 60.
00:41
So, we have to find the laplace transform of this by using this above integral converges concept.
00:49
So, let us start with this.
00:51
So, first of all we will say in the place of f of t we are having the function.
00:56
So, obviously the laplace transform of this t square e to the power minus of 60, this will be goes to integration of 0 to infinity e to the power minus of s t f of t dt will be there.
01:14
So, let us put function f of t.
01:17
So, this will become integration 0 to infinity e to the power minus s t f of t we are having t square into e to the power minus 60 dt...