 Solution

ID: past-exam-of-the-mathematical-methods-ii-course-of-the-university-of-oxford/2014-resit/3/b/solution

+ \hat{z}

. The surface integral of the curl is an ordinary planar integral:

I = \int_{0}^{a} \int_{0}^{b} 4 y d y d x = 2 a b^{2} .

If the opposite orientation is chosen, both this flux and the corresponding boundary line integral change sign.

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