I'm in the middle of an area problem, and I'm stumped. It's a silly question but can anyone tell me the antiderivative/integral of cos^3(t)? Surely it's not (cos^2(t))/3, right?
Wait... woah, trippy, it's 0, isn't it? but how does one realize that without looking at the graph?
Also, okay, the actual question is, "Find the area of the region enclosed by the astroid x=(a)(cos^3(t)), y=(a)(sin^3(t)). ... but is it just 0? can I do that?
confused. I hate calc.