I have a couple questions that I'd like answered:
(1) How do I evaluate this integral?
(2) Is it possible to do a substitution? What about $u=e^{i \cdot t}$?
(3) What if 5 and 3 are replaced by other constant integers?
(4) What should be the most effective method to handle question (3), using the fewest calculations (like in numerical methods)? In other words, what is the most effecient way to handle the general case? (Note that it doesn't have to be a numerical method; I just want something fast!)