Question

Let C be the intersection of the paraboloid \[z=x^2+y^2\] and the plane \[z=y\] Give C its counterclockwise orientation as viewed from the positive z-axis. Evaluate: \[\int_{C}xydx+x^{2}dy+z^{2}dz\]

Answer 1

I am interested in solution too

Answer 2

Hint, R is the region in the xy-plane \[r=sin \theta\] Use Stoke's theorem.