I need to solve the following:
$$\iint_S x^2 z ~d\rho,$$
where $S$ is part of the cylinder $x^2 + z^2 = 1$ that is above the $xy$-plane and between the planes $y = 0$ and $y = 2$.
So it looks like I have portion of the cylinder... but again dont know how to setup the integral. I know I have to put the integrand in parametric form first and then I can plug that into the integrand and proceed to integrate.. but the issue is getting the integral limits and the parametric form!