The problem is:
Evaluate the $\int \int_SF* dS$ for the given vector field F and the oriented surface S. for closed surfaces, use the positive (outward) orientation. F(x,y,z) = xi +yj +5k. S is the boundary of the region enclosed by the cylinder $x^2 + z^2$ = 1 and the planes y = 0 and x + y = 2.
I get that these are three separate surfaces. The only one I'm having trouble with is the lateral portion of the cylinder. In my book, they parametrize it as x = sin(t), y=y, z=cos(t). Why do they have x as sin and z cos? Is there a way to have x as cos and z as sin and just change the bounds?