An integral can be defined as the limit (as n approaches infinity) of the sum of f(x)times Delta x. It has been said that f(x) can be taken at any point of the Delta x interval (at the right side, at the left side, at the center, etc.). My question is: can I pick f(x) at one point of the Delta x interval (let's say, the left) in one rectangle, and then in the next rectangle pick it in another point (let's say, the center), and so on, or once I make my choice of where I will choose the point, I must be consistent?(adsbygoogle = window.adsbygoogle || []).push({});

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# Quick question about integrals

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