One concept as I write this that I do not have a grasp of yet is what I have tried to do for HW5.3.
$ x(t)=\frac{1}{2\pi}\int_{-\infty}^{\infty}\cos(4 \omega + \frac{\pi}{3})e^{j\omega t}d\omega $
The rest of the concepts for the moment I just need to review more.