Let C be the intersection curve of the paraboloid z = x2 − y2/2 with the cylinder x2 + y2 = 1, traveled counterclockwise when viewed from above (that is, its XY projection travels counterclockwise). Let I = (image 1), with F⃗ (x, y, z) = (3xy/2,3x2/4 + xz, −xy/2). When applying Stokes' Theorem to calculate the line integral I, the resulting double integral corresponds to: (image 2)

Let C be the intersection curve of the paraboloid z = x² − y²/2 with the cylinder x² + y² = 1, traveled counterclockwise when viewed from above (that is, its XY projection travels counterclockwise).

Let I = (image 1), with F⃗ (x, y, z) = (3xy/2,3x²/4 + xz, −xy/2). When applying Stokes' Theorem to calculate the line integral I, the resulting double integral corresponds to: (image 2)