Natural log fxn = negative integral?

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The discussion revolves around the equation ln(1/10) = -∫ dx/x, questioning its validity. Participants express confusion about the integral's limits and the meaning of dx/x. It is clarified that integrating 1/x requires limits for the integral to be valid. The conclusion is that the original statement is incorrect without specified limits, suggesting a possible typo in the problem. Overall, the importance of limits in integral calculus is emphasized in understanding the relationship between logarithms and integrals.
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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