Khan Academy: Stokes' Theorem: Evaluating Line Integral Directly Part 2

This video shows that we didn't need to use Stokes' Theorem to evaluate this line integral.

Video lesson using line integrals to find the area along a parametric curve in both directions. Shows that the results are the same for either direction by using substitution. [16:22]

Video lesson using line integrals in a vector field for a path in opposite directions. Gives the intuition and then shows that the results will have opposite signs. [15:51]

Video extending the idea of a conservative vector field to show that a closed curve line integral will be equal to zero by showing that the difference of a line integral of a path and a line integral of a path with the same end points...

Conceptual understanding of why the curl of a vector field along a surface would relate to the line integral around the surface's boundary.

A lesson video showing when you can use the Stokes' Theorem.

This video shows that Green's Theorem is just a special case of Stokes' Theorem.

Watch Sal finish the problem he started in part 1 by converting the sum back to magnitude and direction form.

Finding the curl of the vector field and then evaluating the double integral in the parameter domain

A video showing converting the surface integral to a double integral.