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Math Help - Integral of f(x)=1/x in [1,2]

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    MHF Contributor Also sprach Zarathustra's Avatar
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    Integral of f(x)=1/x in [1,2]

    For how many equal sections need to divide [1,2] to ensure that all Riemann sums of the function f(x)=1/x in [1,2] will be close to int{[1,2], 1/x dx} to 0.001?
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    Quote Originally Posted by Also sprach Zarathustra View Post
    For how many equal sections need to divide [1,2] to ensure that all Riemann sums of the function f(x)=1/x in [1,2] will be close to int{[1,2], 1/x dx} to 0.001?
    Equate the formula for the maximum error to 0.001 and solve for n.
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    MHF Contributor Also sprach Zarathustra's Avatar
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    Which formula is that? Could you remind me?
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    Quote Originally Posted by Also sprach Zarathustra View Post
    Which formula is that? Could you remind me?
    See here: http://math.iit.edu/~mccray/Math149S...um20080410.pdf
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    MHF Contributor Also sprach Zarathustra's Avatar
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    Thank you very much!
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