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)

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.