Khan Academy: Stokes' Theorem: Evaluating Line Integral Directly Part 1

Using The Official SAT Study Guide, Sal begins another review session of eighteen problems, six of which are addressed in this video. The problems involve variables in linear equations, angles and parallel lines, and ratios. One problem...

Finishing up the line integral with a little trigonometric integration.

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.

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.