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Multivariable calculus, class #20: Introduction to triple integrals
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Mathematician spotlight: Yitang Tom Zhang
We do an example of a double integral that requires all of our tools: changing the order of integration, the integral of an odd function over a symmetric region is 0, u-substitution, and integration by parts. Then we introduce triple integrals, what they mean and how to compute them. We then do an example of setting up the integral over a solid region, in two different orders of integration, and then change the region slightly and set it up again.
We do an example of a double integral that requires all of our tools: changing the order of integration, the integral of an odd function over a symmetric region is 0, u-substitution, and integration by parts. Then we introduce triple integrals, what they mean and how to compute them. We then do an example of setting up the integral over a solid region, in two different orders of integration, and then change the region slightly and set it up again.
Multivariable calculus, class #20: Introduction to triple integrals
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