Lec 25 | MIT 18.02 Multivariable Calculus, Fall 2007

Lecture 25: Triple integrals in rectangular and cylindrical coordinates.

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• calculus
• vector-algebra
• determinants
• matrix
• matrices
• vector-valued-function
• space-motion
• scalar-function
• partial-differentiation
• gradient
• optimization-techniques
• double-integrals
• line-integrals
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[pedroissler]

@aritrayou This is clearly not a general method.. For 2 curves like paraboloids it is easy to set the bounds because you know they intersect at a given level forming a closed solid. For a bunch of planes, if they don't form a closed solid, maybe it would be better to define when these planes intersect the xy plane (when z=0) or, maybe even better, any given level z=constant for that matter. A bunch of planes that don't form a closed solid would form a pointy thing w/ nothing above it.

[ny1fanta]

@aritrayou then you can use rectangular coordinates. cylindrical method is good when there is a circle (projection) on xy-plane