Explore BrainMass

# Green's Theorem and Stokes' Theorem

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

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

#### Solution Preview

Hello and thank you for posting your question to Brainmass!
The solution is attached below in two files. The files are identical in content, only differ ...

#### Solution Summary

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

\$2.49