- #1

Kamataat

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Now this is what I don't understand: How can one get the volume above [itex]D_i[/itex] from just [itex]P_i[/itex]? Is it assumed that [itex]f(P_i)[/itex] is constant everywhere for some [itex]D_i[/itex], so that [itex]f(P_i)[/itex] won't have different values depending on where in [itex]D_i[/itex] we choose [itex]P_i[/itex]?

In the definition of the double integral they (the book) say that [itex]n \to \infty[/itex], which is understandable. However, before ever getting to double intergrals, they give the formula for [itex]V[/itex], w/o [itex]n\to\infty [/itex].

Thanks in advance for your help!