Question

find the middle form of 2,6,10,...............120​

Answer 1

Step-by-step explanation:

Given f(t)=sin(at) I want to calculate the Laplace transform of f(t).

I have determined by using integration by parts twice, that the answer should be

F(s)=as2+a2

Now I want to recalculate it by using just that

sin(at)=12i(eati−e−ati)

So the integral becomes

12i∫∞0e−st(eati−e−ati)=

12i∫∞0et(ai−s)−e−t(ai+s)dt=

12i[1ai−set(ai−s)]∞0+12i[1ai+se−t(ai+s)]∞0