# A possible way to integrate dx^2?

## Main Question or Discussion Point

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..

andrewkirk
Homework Helper
Gold Member
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=$\frac{1}{2}(t-a)^2$

HallsofIvy