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Multiple Integrals

A concise module on integrals with two or three variables and see their application to real world problems.

1 year ago 5,729 views donylee
Videos: 18
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Multiple Integrals 1: Definition of the Double Integral 10:55
Our first official lesson on multivariable calculus. We start by examining the dou...
1 year ago 19,531 views
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Multiple Integrals 2: Partial Integration 10:33
Before we head to evaluating double integrals, we need to be familiar with a somew...
1 year ago 8,362 views
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Multiple Integrals 3: Evaluating Double Integrals 7:45
Using partial integration, we can now go in the proper methods of evaluating doubl...
1 year ago 5,682 views
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Multiple Integrals 4: Nonrectangular regions 9:35
We learn how to calculate the double integral over nonrectangular regions. For ...
1 year ago 4,236 views
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Multiple Integrals 5: Limits of Region R (Type I) 9:55
We see how, through a simple procedure, we define the limits of a type I region R....
1 year ago 4,393 views
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Multiple Integrals 6: Limits of Region R (Type II) 9:48
We see how, through a simple procedure, we define the limits of a type II region R...
1 year ago 2,993 views
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Multiple Integrals 7: Reversing the order of integration 8:54
Up to now, we should have realized that we can either integrate dx dy or integrate...
1 year ago 5,818 views
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Multiple Integrals 8: Interpretations and Uses 10:57
We shall take a further look into what the double integral really means and find t...
1 year ago 3,176 views
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Multiple Integrals 9: Finding Volume Problems (Tetrahedron) 6:00
Using the Double integral to find the volume of a tetrahedron bounded by a plane a...
1 year ago 5,230 views
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Multiple Integrals 9: Finding Volume Problems (Cylinder) 5:42
Using the Double integral to find the volume of a cylinder with a flat bottom and ...
1 year ago 6,917 views
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Multiple Integrals 10: Hunting Gold, double integral problem 10:56
Today, we face with a certain problem difficult of the double integral, which when...
1 year ago 2,533 views
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Multiple Integrals 11: Hunting Gold, alternative approach 10:10
An alternative approach of specifying region R when dealing with our previous prob...
1 year ago 1,347 views
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Multiple Integrals 12: Double Integrals in Polar Coordinates 9:42
We now move on to another coordinate system, Polar Coordinates and see how the dou...
1 year ago 4,977 views
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Multiple Integrals 13: Evaluation of Polar Double Integrals 9:14
Still sticking in the polar coordinates systems, this lessons focuses on evaluatin...
1 year ago 2,809 views
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Multiple Integrals 14: Area between a Circle and a Cardioid 10:30
Putting our new found methods into use, we find the area of a region between a Cir...
1 year ago 3,306 views
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Multiple Integrals 15: Volume of Sphere in Polar Coordinate 9:07
We visit an age-old problem of finding the volume of a sphere but this time curiou...
1 year ago 4,218 views
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Multiple Integrals 16: Volume of Sphere, another look 8:35
Let us take a further look into the volume of the sphere and find out the alternat...
1 year ago 3,505 views
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Multiple Integrals 17: Area of a Three-Petaled Rose 10:47
Polar double integral used to find the area of the beautiful three-petaled rose. ...
1 year ago 3,538 views
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