- #1
Sara991
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How do I solve this integral?
<br /> \int \frac{1}{dx}<br />
<br /> \int \frac{1}{dx}<br />
What Is the Correct Approach to Solving \(\int \frac{1}{dx}\)?
- Thread starter Sara991
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Homework Help Overview
The discussion revolves around the integral \(\int \frac{1}{dx}\), with participants questioning its validity and seeking clarification on its meaning within the context of calculus.
Discussion Character
- Conceptual clarification, Assumption checking
Approaches and Questions Raised
- Participants express confusion regarding the expression \(\int \frac{1}{dx}\) and question its mathematical validity. Some suggest that the original poster may have intended to write \(\int \frac{1}{x}\,dx\) instead. Others inquire about the source of the expression to better understand the context.
Discussion Status
The discussion is ongoing, with participants providing insights and raising concerns about the expression's meaning. There is a lack of consensus on how to proceed, as some participants express frustration over the original poster's reluctance to provide additional context.
Contextual Notes
There is an indication that the original poster encountered this expression while solving a problem, but the full problem context has not been shared, leading to ambiguity in the discussion.
- #2
vela
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You can't. Did you by chance mean
\int \frac{1}{x}\,dx
\int \frac{1}{x}\,dx
- #3
Sara991
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Hi dear
I mean:
<br /> \int \frac{1}{dx}<br />
I mean:
<br /> \int \frac{1}{dx}<br />
- #4
vela
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That expression doesn't make sense. Where did it come from?
- #5
Sara991
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I encounter with this, when I am solving a problem.
- #6
HallsofIvy
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Then please give the entire problem. As vela said,
\int \frac{1}{dx}
simply doesn't mean anything.
\int \frac{1}{dx}
simply doesn't mean anything.
- #7
Sara991
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So Sorry, I am not able to explain it.
- #8
Char. Limit
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Well, since \int dx[/tex] means a sum (\int) of an uncountably large amount of infinitesimally small numbers (dx's)...<br />
<br />
and since, if dx is infinitesimally small, 1/dx would be uncountably large...<br />
<br />
Then \int \frac{1}{dx} means a sum of an uncountably large amount of uncountably large numbers...<br />
<br />
and so is uncountably large itself.
- #9
Hurkyl
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Ugh, first the opening poster won't go into where she got the expression so we can point out what she did wrong, but now people are giving her questionable advice. 
Thread closed.
Thread closed.