ln calculus

This is a discussion on ln calculus within the A Brief History of Cprogramming.com forums, part of the Community Boards category; I know that ln(x) is defined as the integral of 1/t from 1 to x. What is the logical connection ...

  1. #1
    Just because ygfperson's Avatar
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    ln calculus

    I know that ln(x) is defined as the integral of 1/t from 1 to x. What is the logical connection between that integral and ln(x)? Why is it that way?

  2. #2
    ¡Amo fútbol!
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    AFAIK, ln x is defined as the following:

    e^y=x ---> ln(x)=y


    Although what you are saying is true, I have never heard of it being used as the definition of ln.

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    I'll rephrase...

    why is the integral of 1/t from 1 to x, ln(x)? What connection is there between a log and an integral? (ie: why does this connection exist?)

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    I see... thanks

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