# Green's Theorem and Stokes' Theorem

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 .

https://brainmass.com/math/integrals/green-s-theorem-stokes-theorem-35016

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This solution is comprised of a detailed explanation to calculate the given line integrals.