# Surface Integrals – On a cone – Exercise 4103

Exercise

Calculate the integral

$$\int\int_S Pdydz + Qdxdz +Rdxdy$$

Where

$$P=y, Q=-x, R=0$$

And the surface S is the outside of the half cone

$$z^2=x^2+y^2, 0\leq z\leq 3$$

$$\int\int_S \vec{F}\hat{n}ds=0$$