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Khan Academy
Khan Academy: Surface Integrals: Surface Integral Ex3 Part 4 Home Stretch
This is part 4 of a 4-part video series solving for the surface integral of a surface made of three separate parts.
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Khan Academy: Example of Closed Line Integral of Conservative Field
Example of taking a closed line integral of a conservative field
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Khan Academy: Line Integrals for Scalar Functions (Part 2)
An example of finding the surface area along a closed curve using line integrals.
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Khan Academy: Conceptual Clarification for 2 D Divergence Theorem
This video revisits the 2-D divergence theorem to involve mass density and velocity and find the mass exiting under the closed curve.
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Khan Academy: Double Integrals: Double Integrals 4
Another way to conceptualize the double integral.
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Khan Academy: Line Integrals for Scalar Functions: Line Integral Example 1
Video lesson showing how to visualize, set up, and solve a line integral.
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Khan Academy: Line Integral Example 2 (Part 1)
Line integral over a closed path (part 1). This video shows 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.
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Khan Academy: Shell Method: Calculating Integral With Shell Method
This video shows how to find the volume of a solid using the shell method.
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Khan Academy: Trapezoidal Approximation of Area Under Curve
A video showing how to approximate the area under a cuve by using the Trapezoidal approximation.
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Khan Academy: Divergence Theorem Proof (Part 3)
This video shows how to evaluate the surface integral.
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Khan Academy: Shell Method: Evaluating Integral for Shell Method
A demonstration on how to evaluate the definite integral using the shell method
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Khan Academy: Stokes' Theorem: Orienting Boundary With Surface
This video lesson shows the proper orientation of the boundary given the orientation of the surface.
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Khan Academy: Trig Substitution: Another Substitution With X=sin (Theta)
A video evaluating an indefinite integral involving a trig substitution.
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Khan Academy: Stokes' Theorem: Part 2 Parameterizing the Surface
This is part two on how to parameterize the surface.
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Khan Academy: Stokes' Theorem: Stokes' Theorem Intuition
Conceptual understanding of why the curl of a vector field along a surface would relate to the line integral around the surface's boundary.
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Khan Academy: Stokes' Theorem: Evaluating Line Integral Directly Part 1
This video shows that we didn't need to use Stokes' Theorem to evaluate this line integral.
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Khan Academy: Divergence Theorem (3 D): Divergence Theorem Example 1
Example of calculating the flux across a surface by using the Divergence Theorem.
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Khan Academy: Disc Method: Disk Method Around X Axis
Finding the solid of revolution (constructed by revolving around the x-axis) using the disc method.
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Khan Academy: Riemann Sums and Definite Integration: Riemann Sums and Integrals
A video showing how to find the area under a curve using Riemann Sum.
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Khan Academy: Divergence Theorem Proof: Divergence Theorem Proof (Part 5)
This is part five of a series of video about the Divergence Theorem.
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Khan Academy: Disc Method: Calculating Integral Disc Method Around Vertical Line
Calculating the volume by using the disk method.
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Khan Academy: Why We Got Zero Flux in Divergence Theorem Example 1
This video explains why we get zero, positive and negative when using divergency.
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Khan Academy: Integration by Parts: Integral of Ln X
In this video lesson students use the antiderivative to find the natural log of x.
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Khan Academy: Stokes' Theorem: Evaluating Line Integral Directly Part 2
Finishing up the line integral with a little trigonometric integration.