∫ 1/x = ln(x) at first seems "break the pattern" of integrals of the form ∫xⁿ dx • However plotting the various ∫xⁿ for different 𝑛 makes it hard to imagine it being anything differentpic.twitter.com/qQaYVeAsfy
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Reminds me of something I tell my math methods students a lot: sometimes something that seems strange or incongruous is really more the result of the way we've learned to write and describe things.
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And it occurs to me, in the case of the log, that if we write all powers as exp[N log(x)] then the N=1 case doesn't seem so special anymore!
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A huge fraction of mathematical insight is notation.
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