Supposing that is a function defined on the plane and bounded variation in closed intervals , then
( : Lebegue integral )
Refer to the Lebegue-Stielties integral.
[Interpretation on drawing]
In the drawing shown below, you can see that any function is acceptable if the function is continuous and does not include any point at infinity in the closed intervals .
The formula can be interpreted as a special case of Lebegue-Stielties integral.
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