Natural log fxn = negative integral?

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Homework Help Overview

The discussion revolves around the relationship between the natural logarithm function and an integral expression, specifically questioning the validity of the equation ln(1/10) = -∫ dx/x without specified limits of integration.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the meaning of the integral dx/x and question whether limits of integration are necessary for the equation to hold true. Some suggest that the integral might need specific bounds to be valid.

Discussion Status

The conversation has progressed with some participants clarifying their understanding of the integral and acknowledging the potential omission of limits. There is an indication of differing interpretations regarding the original statement.

Contextual Notes

There is uncertainty regarding the presence of limits of integration in the original problem statement, which some participants believe may have been overlooked.

Jules18
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Homework Statement


True or false?

ln(1/10) = -\int dx/x

The Attempt at a Solution



I have no idea where to start on this one.

what is dx/x ??
 
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right side means that u are supposed to integrate with respect to x

-Integrate[1/x] with respect to x
 
This is obviously not true as posted. Are there limits of integration that we're not seeing?
I.e., does the integral look like this?
-\int_1^{10} \frac{dx}{x}
 
ok I get it. the limits are missing, it must be a typo, but otherwise this makes sense to me now thanks
 

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