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

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]

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

Video lesson solving the line integral of a region formed by the unit circle by using Green's theorem. Accounts for region being formed by moving in a clockwise direction instead of the counterclockwise direction. [7:07]

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]

Video lesson explaining why the antiderivative is the area under a curve. Provides an introduction to the fundamental theorem of calculus. [9:46]

Video lesson finishing an example of finding the area between two curves and solving another example. [9:57]

Video lesson solving a closed line integral of a vector field by using Green's theorem. [10:31]

Second part of a two-part video series on calculating the surface integral of a surface that can be described as a function of x and y. Video evaluates the surface integral. [9:51]

Part 2 of a 4-part video series solving for the surface integral of a surface made of three separate parts. The second video finishes evaluating the surface integral of the second surface by substituting a trigonometric identity. [9:10]

Part 2 of a 3-part video series showing how to calculate the surface integral of the unit sphere.. Video calculates the cross product of the two vectors and its magnitude. [12:50]