Math 203 Lecture 26 - Triple integrals and surface area using double integrals

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58:28 thats pretty darn cool. Could that be applied to every double/triple integral we've done so far?

kpopisthebestful
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Also for that trick, 58:28, it wont work if the function is addition, like x+y+z dxdydz. And does this work for triple integrals

kpopisthebestful
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I'm a bit confused on how to interpret a triple integral that holds a f(x, y, z) inside. The answer is in four dimensions so is it describing some other quantity of the object (given a respective formula) such as temperature or.. like what does it mean?

For example: A few videos back for an object with non-neglible thickness, the center of mass formula gives us a density function for the whole solid. But the answer is a number, is it an average number or a total number?

UnforsakenXII