umm....... I think it was exactly 2 head
Answer:
![F(s) = \frac{s(e^{\pi s}+1)}{s^2 +1}](https://tex.z-dn.net/?f=F%28s%29%20%3D%20%5Cfrac%7Bs%28e%5E%7B%5Cpi%20s%7D%2B1%29%7D%7Bs%5E2%20%2B1%7D)
Step-by-step explanation:
Using the formula for Laplace the transformations if
is the converted function then
![F(s) = \int\limits_{0}^{\infty} e^{-st} \cos(t) dt = \int\limits_{0}^{\pi} e^{-st} \cos(t) dt](https://tex.z-dn.net/?f=F%28s%29%20%3D%20%5Cint%5Climits_%7B0%7D%5E%7B%5Cinfty%7D%20e%5E%7B-st%7D%20%5Ccos%28t%29%20dt%20%3D%20%5Cint%5Climits_%7B0%7D%5E%7B%5Cpi%7D%20e%5E%7B-st%7D%20%5Ccos%28t%29%20dt)
To solve that integral you need to use integration by parts, when you do integration by parts you get that
.
(z+1.2)/5=3.6
quotient: division