Khan Academy
Khan Academy: Calculus: Closed Curve Line Integral of Conservative Vector Field
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...
Khan Academy
Khan Academy: Calculus: Path Independence for Line Integrals
Video lesson introducing conservative vector fields and the multivariable chain rule. Shows that a vector field is conservative if the line integral is the same for the same starting and ending point regardless of the path taken. [17:14]
Khan Academy
Khan Academy: Calculus: Second Example of Line Integral of Conservative 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. [10:18]
Khan Academy
Khan Academy: Calculus: Example of Closed Line Integral of Conservative Field
Video lesson solving a closed line integral by first showing that the vector field is conservative and then knowing based on the information in the previous video that the closed line integral is equal to zero. [11:02]
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: Example of Closed Line Integral of Conservative Field
Example of taking a closed line integral of a conservative field
Khan Academy
Khan Academy: Thanksgiving Math: Green Bean Matherole
A Thanksgiving dinner compared to a vector field.