Instructional Video
Khan Academy

Khan Academy: Calculus: Introduction to the Surface Integral

9th - 10th
Video introducing surface integrals by building on the partial derivatives of vector-valued functions from the previous video and showing how to visualize a surface integral. Surface area is found by taking the magnitude of the cross...
Instructional Video
Khan Academy

Khan Academy: Calculus: Surface Integral Ex3 Pt4: Home Stretch

9th - 10th
Part 4 of a 4-part video series solving for the surface integral of a surface made of three separate parts. This video finishes evaluating the surface integral of the third surface and adds the results together. [4:02]
Instructional Video
Khan Academy

Khan Academy: Calculus: Surface Integral Ex3 Pt1: Parameterize the Outer Surface

9th - 10th
Part 1 of a 4-part video series solving for the surface integral of a surface made of three separate parts. The first video sets up the surface integral for the entire surface, evaluates the first surface and parametrizes and finds the...
Instructional Video
Khan Academy

Khan Academy: Calculus: Surface Integral Ex2 Pt2: Evaluating Integral

9th - 10th
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]
Instructional Video
Khan Academy

Khan Academy: Calculus: Surface Integral Ex1 Pt2: Calculate Surface Differential

9th - 10th
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]
Instructional Video
Khan Academy

Khan Academy: Calculus: Surface Integral Ex1 Pt3: The Home Stretch

9th - 10th
Part 3 of a 3-part video series showing how to calculate the surface integral of the unit sphere. Video calculates the double integral of the magnitude of the cross product found in the previous part. Trigonometric identities and...
Instructional Video
Khan Academy

Khan Academy: Calculus: Surface Integral Ex3 Pt3: Top Surface

9th - 10th
Part 3 of a 4-part video series solving for the surface integral of a surface made of three separate parts. The third video parametrizes the third surface, finds the magnitude of the cross product and begins to evaluate the double...
Instructional Video
Khan Academy

Khan Academy: Calculus: Surface Integral Ex3 Pt2: Evaluating the Outside Surface

9th - 10th
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]
Instructional Video
Khan Academy

Khan Academy: Surface Integrals: Surface Integral Ex3 Part 4 Home Stretch

9th - 10th
This is part 4 of a 4-part video series solving for the surface integral of a surface made of three separate parts.
Instructional Video
Khan Academy

Khan Academy: Surface Integrals: Surface Integral Part 2 Evaluating Integral

9th - 10th
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.
Instructional Video
Khan Academy

Khan Academy: Surface Integrals: Part 2 Calculating the Surface Differential

9th - 10th
This is part 2 of a 3-part video series showing how to calculate the surface integral of the unit sphere.
Instructional Video
Khan Academy

Khan Academy: Surface Integrals: Part 3 the Home Stretch

9th - 10th
Part 3 of a 3-part video series showing how to calculate the surface integral of the unit sphere.
Instructional Video
Khan Academy

Khan Academy: Surface Integrals:part 3 Top Surface

9th - 10th
Part 3 of a 4-part video series solving for the surface integral of a surface made of three separate parts.
Instructional Video
Khan Academy

Khan Academy: Surface Integrals: Part 2 Evaluating the Outside Surface

9th - 10th
Part 2 of a 4-part video series solving for the surface integral of a surface made of three separate parts.
Instructional Video
Khan Academy

Khan Academy: Stokes' Theorem: Part 3 Surface to Double Integral

9th - 10th
A video showing converting the surface integral to a double integral.