
Finding volumes — when to use double integrals and triple integrals?
Triple integration is used for functions of three variables and double integrals are used for functions of two variables. For a function of 1 variable, you use the methods of calculus 1 to rotate the objects …
integration - Finding volume of cone using triple integral ...
Mar 21, 2020 · Finding volume of cone using triple integral Ask Question Asked 5 years, 9 months ago Modified 5 years, 9 months ago
multivariable calculus - What does a triple integral represent ...
Apr 18, 2016 · From my understanding if the integrand is 1, then it gives you the volume of the region defined by the bounds. But what does the value of a triple integral represent if the integrand is a …
Is there a way to find the bounds of integration for triple integrals ...
Mar 24, 2017 · I found this (relevant) question from 3 years ago, but it was left unanswered: Is there a way to find limits of integration numerically for triple integrals? I would greatly appreciate if someone …
Triple Integrals vs Double Integrals - Mathematics Stack Exchange
Apr 3, 2014 · A double integral inherently represents an "area" and a triple integral inherently represents a "volume". Whether those words actually make sense depends on the function you are integrating. …
Finding the volume of a sphere with a triple integral and trig sub
Jun 1, 2011 · 4 How is trigonometric substitution done with a triple integral? For instance, $$ 8 \int_0^r \int_0^ {\sqrt {r^2-x^2}} \int_0^ {\sqrt {r^2-x^2-y^2}} (1) dz dy dx $$ Here the limits have been chosen …
Surface area using triple integrals? - Mathematics Stack Exchange
The triple integral of that equation would end up giving you the volume of the part of the sphere. Converting to polar coordinates and evaluating the double integral that way would be the most …
Triple integrals with polar coordinates. - Mathematics Stack Exchange
Dec 17, 2017 · 0 Actually, this is a volume integral of the form $\iiint_V f (x,y,z) dx dy dz$ ; where V is the volume (can be define by the limits of the given triple integration). Since you want to solve this by …
Triple integral with tetrahedron - Mathematics Stack Exchange
Feb 2, 2019 · Triple integral with tetrahedron [duplicate] Ask Question Asked 6 years, 11 months ago Modified 6 years, 11 months ago
Bounding a triple integral - Mathematics Stack Exchange
I'm studying for an exam and I struggle with finding the bounds for triple integrals. Specifically, I find it difficult when I can not draw a picture of the surface (which I may not have time to do...