- #1
Lifprasir
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I do not know how to formulate formulas on this forum so I just wrote it neatly on a piece of paper and linked it.
http://puu.sh/8fwXr.jpg
Thankss.
http://puu.sh/8fwXr.jpg
Thankss.
Last edited by a moderator:
A double integral is used to find the area under a surface in two-dimensional space, while a triple integral is used to find the volume under a surface in three-dimensional space.
To set up a double integral for finding area, you need to first determine the limits of integration for both the x and y variables. Then, you need to integrate the function over the defined limits using the appropriate integration method (e.g. rectangular, polar, etc.).
No, a double integral can only be used to find the area under a surface in two-dimensional space. To find the volume of a solid in three-dimensional space, you will need to use a triple integral.
To use a triple integral to find the volume of a solid, you need to determine the limits of integration for all three variables (x, y, and z). Then, you can integrate the function over these defined limits using the appropriate integration method (e.g. rectangular, cylindrical, spherical, etc.).
Yes, the order of integration in a triple integral does matter. The general rule is to integrate the variables from the innermost to the outermost, starting with the variable that has the smallest range of integration. However, in some cases, it may be more convenient to integrate in a different order based on the shape of the region and the function being integrated.