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Khan Academy
Khan Academy: Calculus: Using Line Integrals to Find Work Done by a Vector Field
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]
Khan Academy
Khan Academy: Calculus: Vector Field Line Integrals Dependent on Path Direction
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]
Khan Academy
Khan Academy: Calculus: Line Integrals and Vector Fields
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]
Khan Academy
Khan Academy: Using a Line Integral to Find the Work Done by a Vector Field
Using a line integral to find the work done by a vector field example.
Khan Academy
Khan Academy: Vector Field Line Integrals Dependent on Path Direction
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.
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.