# A possible way to integrate dx^2?

1. Oct 27, 2015

### depther

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. Oct 28, 2015

### andrewkirk

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=$\frac{1}{2}(t-a)^2$

3. Oct 28, 2015

### HallsofIvy

Staff Emeritus
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.

4. Oct 28, 2015

5. Nov 5, 2015

### rs1n

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