Here is the problem:
Here is my progress:
I have solved the unit normal vector n to be and A dotted with n to be
So I get to the point where:
Now I do not know how to proceed from here. I don't know how to define my upper and lower limits and what dS should be equal to. I have tried to read the book(Schaum's Vector Analysis) but still I cannot seem to get how to approach this, since there has been no example of a horizontally inclined cylinder, only of a vertical one. I have been able to solve a similar problem to this but the cylinder was oriented vertically..
I believe the cylinder in question here has a radius of 3 and runs along the y-axis starting from 0 and ending at 8, and it only exists in the first octant because of its boundaries. Please please help