Instructional Video
Khan Academy

Khan Academy: Calculus: Using Line Integrals to Find Work Done by a Vector Field

9th - 10th
Video lesson using a line integral to find the work done on a particle on a specific path in a specific vector field. Solution results in negative work. [11:32]
Instructional Video
Khan Academy

Khan Academy: Calculus: Vector Field Line Integrals Dependent on Path Direction

9th - 10th
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]
Instructional Video
Khan Academy

Khan Academy: Calculus: Line Integrals and Vector Fields

9th - 10th
Video that first reviews the concept of work, then gives a vector field and sets up a line integral to find the work done on a particle moving along a path using a dot product. [16:46]
Instructional Video
Khan Academy

Khan Academy: Using a Line Integral to Find the Work Done by a Vector Field

9th - 10th
Using a line integral to find the work done by a vector field example.
Instructional Video
Khan Academy

Khan Academy: Vector Field Line Integrals Dependent on Path Direction

9th - 10th
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.
Instructional Video
Khan Academy

Khan Academy: Line Integrals in Vector Fields: Line Integrals and Vector Fields

9th - 10th
Using line integrals to find the work done on a particle moving through a vector field.