@Hippalectryon It is frustrating that, as a mod, it is not acceptable to vote to reopen a question. I spent a lot of time on a question and when I finally had a solution, I try to submit my solution only to find out it has been closed as a duplicate. Part of the question is not answered in the other question, so I don't think it should be closed as a duplicate.
For the problem "Integrate the function $G(x,y,z) = z$ over the cylindrical surface $y^2 + z^2 = 4, z \geq 0, 1 \leq x \leq 6$", I should do it in terms of $z$ and $\theta$, right?
@TedShifrin what would I integrate $\theta$ from and to? I know it's got to span $\pi$ total, but I'm unsure where I'd start since the cylinder is on its side
Right, @Zach. It is more confusing because of the axis swap. You want $z\ge 0$. So it depends what your $\theta$ is. If $z=2\cos\theta$, then what range must you have for $\theta$?
@AshwinGokhale No, I have the option to, but just pure math next semester. I am overloading with operations research though, since I really want to do it and the other 4