#### veggisheggis

##### New member

- Joined
- Apr 11, 2019

- Messages
- 2

*(translating from norwegian)*

C is the intersection between the sylinder 7x

^{2}+y

^{2}=4, and a smooth(?) function f:R2→R, meaning the surface z=f(x,y).

The curve is oriented counter-clockwise viewed from above. Evaluate the integral:

∮C−y

^{3}dx+7x

^{3}dy−3z

^{3}dz.

This means: even though we don't know the curve C, it's possible to evaluate the integral. Find a surface(/area(?)) limited by C and use Stokes' theorem. This formula might help:

(in the pink box)