How would you find the laplace transformation of $\frac{\cos x}{x}$?
Like I know you need to add it to another transformation to solve for it. And I know that the transformation of $\cos x$ is $\frac{s}{s^2+1}$ and the transformation of $\frac{f(x)}
{x}$ is $\int_s^\infty \! F(u) \, \mathrm{d}u$.
And I know that for the transformation of $\frac{\sin x}{x}$ you apply it to the integral multiplying $e^{-sx}$
I am just having trouble trying to apply this with $\cos$. And actually how it works all together.
I am trying to further understand how this concept actually works. thanks.