Khan Academy on a Stick : Double and triple integrals

Khan Academy on a Stick

Calculus

Double Integral 1
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Introduction to the double integral
Double Integrals 2
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Figuring out the volume under z=xy^2
Double Integrals 3
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Let's integrate dy first!
Double Integrals 4
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Another way to conceptualize the double integral.
Double Integrals 5
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Finding the volume when we have variable boundaries.
Double Integrals 6
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Let's evaluate the double integrals with y=x^2 as one of the boundaries.

Double integrals

A single definite integral can be used to find the area under a curve. with double integrals, we can start thinking about the volume under a surface!

Triple Integrals 1
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Introduction to the triple integral
Triple Integrals 2
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Using a triple integral to find the mass of a volume of variable density.
Triple Integrals 3
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Figuring out the boundaries of integration.

Triple integrals

This is about as many integrals we can use before our brains explode. Now we can sum variable quantities in three-dimensions (what is the mass of a 3-D wacky object that has variable mass)!