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A possible way to integrate dx^2?

  1. Oct 27, 2015 #1
    While reading a proof for an integral equation I came across this formula:
    http://imgur.com/K8RQlOc

    It was claimed that it can be proven..
     
  2. jcsd
  3. Oct 28, 2015 #2

    andrewkirk

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    If my calculations are correct, it's either meaningless or false.
    It's meaningless if ##dx^n## means ##(dx)^n##
    It's false if ##dx^n## means ##d(x^n)##. Counterexample is ##n=2,\ f(x)\equiv 1##. This gives LHS=##t^2-a^2## and RHS=##\frac{1}{2}(t-a)^2##
     
  4. Oct 28, 2015 #3

    HallsofIvy

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    I wonder what "x" is supposed to represent. On the left x appears to be an n dimensional vector but on the right it is a number.
     
  5. Oct 28, 2015 #4
  6. Nov 5, 2015 #5
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