14 янв. 2023 г. · Triple integral is over a volume. The result of the integral has units of the integrated quantity times length, area, or volume.

27 мар. 2012 г. · A triple integral of a function would extend into the fourth dimension and give you the four-dimensional "volume" of the shape.

Alternatively, you can think of it as integrating a unitless or "units of volume/units of volume = 1" distribution over the solid that lies between the function ...

26 февр. 2016 г. · A triple integral is the same in 3 dimensions. Instead of small intervals or small areas, you have small volumes. But like lower-dimension ...

1 мая 2013 г. · In the same way, you can interpret a triple integral as computing the hypervolume under a three-dimensional hypersurface embedded in four- ...

10 нояб. 2020 г. · Triple integrals only give volume if the integrand is 1, in which case, the innermost integral can often be evaluated so that you have a double ...

14 сент. 2023 г. · When computing double integrals we find volume. Why is it that we don't continue the pattern with triple integrals and find a 4D hypervolume?

7 авг. 2024 г. · For triple integrals the biggest difference is that the domain over which you integrate gets to be a volume itself.

13 июл. 2012 г. · Double integrals are summing up over a 'square' of 'area'. Triple integrals are summing up a fuction over a volume. That's all!

15 мая 2018 г. · A triple integral does not represent a volume unless you are integrating unity over the solid. Rather, a triple integral of some function specifying a density ...