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Calculate the surface integral of v = 3xy^2i +7zj + 8y^3k of the plane with boundaries of x from 0 to 1, y from 0 to 3, and z from 0 to 2.
Calculate the surface integral of v = 3xy^2i +7zj + 8y^3k of the plane with boundaries of x from 0 to 1, y from 0 to 3, and z from 0 to 2. I know that the surface integral equation is used for vector functions, but I'm not sure how to evaluate the integral. I know that da is normal to the surface, this problem's unit normal vector is (6i + 2j +3k)/7. I just don't know how to set up this integral, probably because I don't understand how to use da well enough.