Crash Course
Crash Course Physics #3: Integrals
This Crash Course Physics episode explains the ways that integrals can help us figure out things like distance when we have several other key bits of information. [10:08]
Khan Academy
Khan Academy: Line Integrals in Vector Fields: Parametrization of a Reverse Path
A video to show you understand how to parametrize a reverse path for the same curve.
Khan Academy
Khan Academy: Closed Curve Line Integrals of Conservative Vector Fields
Showing that the line integral along closed curves of conservative vector fields is zero.
Khan Academy
Khan Academy: Path Independence for Line Integrals
This video shows that if a vector field is the gradient of a scalar field, then its line integral is path independent.
Khan Academy
Khan Academy: Second Example of Line Integral of Conservative Vector Field
Video lesson solving a line integral of a vector field by showing that the vector field is conservative and using the idea of path independence to solve the integral.
Khan Academy
Khan Academy: Line Integrals for Scalar Functions (Part 2)
An example of finding the surface area along a closed curve using line integrals.
Khan Academy
Khan Academy: Line Integrals in Vector Fields: Line Integrals and Vector Fields
Using line integrals to find the work done on a particle moving through a vector field.
Khan Academy
Khan Academy: Line Integrals for Scalar Functions: Line Integral Example 1
Video lesson showing how to visualize, set up, and solve a line integral.
Khan Academy
Khan Academy: Line Integral Example 2 (Part 1)
Line integral over a closed path (part 1). This video shows how to visualize and use line integrals to find the surface area along a closed curved. Problem is solved by using three different line integrals.
Khan Academy
Khan Academy: Stokes' Theorem: Evaluating Line Integral Directly Part 1
This video shows that we didn't need to use Stokes' Theorem to evaluate this line integral.
Khan Academy
Khan Academy: Stokes' Theorem: Stokes Example Part 1
This video shows how to apply Stokes theorem to solve a line integral.
Khan Academy
Khan Academy: Stokes' Theorem: Evaluating Line Integral Directly Part 2
Finishing up the line integral with a little trigonometric integration.