Evaluating integral for unknown C using Stokes' theorem

veggisheggis

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Apr 11, 2019
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(translating from norwegian)
C is the intersection between the sylinder 7x2+y2=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−y3dx+7x3dy−3z3dz.

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:
11738
(in the pink box)
 

veggisheggis

New member
Joined
Apr 11, 2019
Messages
2
C(−y3)dx+(7x3)dy(−3z3)dz
 
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