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Calculus: Challenging Definite Integration
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This 16-minute video lesson looks at 2010 IIT JEE Paper 1 Problem 52: Periodic Definite Integral. The second term at about minute 14 should have a positive sign. Luckily, it doesn't effect the final answer!

Subject:
Calculus
Math
Material Type:
Lesson
Provider:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Calculus: Conceptual Understanding of Flux In Three Dimensions
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Flux can be view as the rate at which "stuff" passes through a surface. Imagine a next placed in a river and imagine the water that is flowing directly across the net in a unit of time--this is flux (and it would depend on the orientation of the net, the shape of the net, and the speed and direction of the current). It is an important idea throughout physics and is key for understanding Stokes' theorem and the divergence theorem.

Subject:
Calculus
Math
Material Type:
Lesson
Provider:
Khan Academy
Author:
Salman Khan
Date Added:
05/03/2018
Calculus: Constructing a Unit Normal Vector to a Curve
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Using Green's theorem (which you should already be familiar with) to establish that the "flux" through the boundary of a region is equal to the double integral of the divergence over the region. We'll also talk about why this makes conceptual sense.

Subject:
Calculus
Math
Material Type:
Lesson
Provider:
Khan Academy
Author:
Salman Khan
Date Added:
05/03/2018
Calculus: Curl 1
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This 10-minute video lesson provides an introduction to the curl of a vector field.

Subject:
Calculus
Math
Material Type:
Lesson
Provider:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Calculus: Definite Integrals (Part 4)
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This 10-minute video lesson provides examples of using definite integrals to find the area under a curve.

Subject:
Calculus
Math
Material Type:
Lesson
Provider:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Calculus: Definite Integrals (Part 5)
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CC BY-NC-SA
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This 10-minute video lesson provides more examples of using definite integrals to calculate the area between curves.

Subject:
Calculus
Math
Material Type:
Lesson
Provider:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Calculus: Definite Integrals (Part Ii)
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CC BY-NC-SA
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This 10-minute video lecture provides more on why the antiderivative and the area under a curve are essentially the same thing.

Subject:
Calculus
Math
Material Type:
Lesson
Provider:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011