I know that flux is ∫∫F[r(t,s)]dotted[∂r/∂s x ∂r/∂t]dtds
The Attempt at a Solution
So I parameterized the equation y=x^2+z^2
x = s
y = s^2 + t^2
z = t
r(t,s) = [s, s^2+t^2, t]
I take the partial derivative of r with respect to s and t and then take the cross product.
I then that F[r(s,t)] and dot that with the cross product above.
I then need the boundaries which I find to be 1/sqrt(2) ≤ s ≤ 1/sqrt(8) and 1/sqrt(2) ≤ s ≤ 1/sqrt(8)
After integrating I get the answer 35/384 which says it's incorrect. I did the problem all over again and got the same exact answer. Any help?