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.
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mam, can u let me know how to compute those integral in which we don't know the function of curve or any surface or volume, ,,what we do on those cases how to compute

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Interesting talk and handsome lecturer.

johnfu