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How do I get $$ \int_a^b \frac{1}{x}dx = \ln\left(\frac{b}{a}\right)$$ as a limit of sum. The constant width partition of the interval $(a,b)$ doesn't seem to work.

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    What makes you think the fixed-width Riemann sum doesn't work in the limit?2012-06-22
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    Typically the logarithm is *defined* $\log t:= \int_1^t\frac{1}{x}dx$, so your question follows nearly by definition.2012-06-22
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    @Anon I tried it but couldn't get to the answer.2012-06-22
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    @PrakashGautam Write up what you tried below your question.2012-06-22

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