Instructional Video
Khan Academy

Khan Academy: Calculus: Introduction to the Line Integral

9th - 10th
Video lesson first reviews the definite integral and then introduces the line integral. Shows how to visualize a line integral and set it up. [18:48]
Instructional Video
Khan Academy

Khan Academy: Calculus: Scalar Field Line Integral Independent of Path Direction

9th - 10th
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]
Instructional Video
Khan Academy

Khan Academy: Calculus: Line Integral Example 2 (Part 2)

9th - 10th
Video lesson continuing the problem from the previous video on finding the surface area along a closed curve using line integrals. Two line integrals are set up and solved and added to the area found previously. [9:58]
Instructional Video
Khan Academy

Khan Academy: Calculus: Line Integral Example 1

9th - 10th
Video lesson showing how to visualize, set up, and solve a line integral. Integral is solved using u-substitution. [13:02]
Instructional Video
Khan Academy

Khan Academy: Calculus: Line Integral Example 2 (Part 1)

9th - 10th
Video lesson showing 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, only one of which is set up and solved in this video. [12:53]