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Green's Theorem and Stokes' Theorem

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Using Green's Theorem and Stokes' Theorem respectively, calculate the given line integrals.
• Using Green's Theorem calculate the line integral , where along the positively oriented closed curve C which is the boundary of the domain: .
Which line integrals you would have to evaluate instead in order to calculate had Green's theorem not been available? Comment on which method is preferable in this case.

• Use stokes' theorem, to calculate , of along the curve C which is the boundary curve of the surface S with parameterisation
where .

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