Understanding Integrals: A Basic Question on Integral Calculus

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Discussion Overview

The discussion centers around the meaning of the expression \(\int^{b}_{a}f(x)(dx)^2\) in the context of integral calculus, specifically questioning whether this expression has any defined meaning when \(f\) is a one-variable function from reals to reals.

Discussion Character

  • Exploratory, Debate/contested

Main Points Raised

  • One participant questions the meaning of the integral expression \(\int^{b}_{a}f(x)(dx)^2\).
  • Another participant asserts that the expression has no meaning at all.
  • A third participant humorously comments on the lack of responses to the initial question.
  • A fourth participant agrees with the assertion that there is no definition for the combination of symbols presented in the expression.

Areas of Agreement / Disagreement

There is a general agreement among participants that the expression does not have a defined meaning, but the discussion includes varying levels of engagement and humor regarding the responses.

Contextual Notes

The discussion does not explore any alternative interpretations or definitions that might exist for the expression, nor does it address any underlying assumptions about the notation used.

mnb96
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Hello,
this is a very basic question on integral calculus, but I have a doubt.
If f is a one-variable function from reals to reals, what is the meaning (if any) of computing:

[tex]\int^{b}_{a}f(x)(dx)^2[/tex]

Thanks.
 
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No meaning at all.
 
No answer ? LOL
 
Above post is an answer. Furthermore, it's correct :smile: What else would anyone want? There is simply no definition of such combination of symbols.
 

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