verify Stokes theorem for the given Surface and VECTOR FIELD
x2 + y2+z2=4, z≤0 oriented by a downward normal.
∫∫S Δ χ F dS=∫ ∂SF.ds
the triangle is supposed to be upside down.
The Attempt at a Solution
myΔχF = 3i +2j-1k
my N i got 2Xi + 2Yj and since Z≤0
I'm not so sure what to next
in the example in the book it said something on a similar exercise that by the symter og D and that fact that 6x and 4y are odd functions are odd functions we have the double integral = 0
is it correct and permanant to go with that fact because I also got 0 on the right hand side. ?