Question

what is x
\[\int\limits_{0^-}^{0^+}x\text dx=1\]

Answer 1

What do you mean what is x?
your integral is zero.

Answer 2

\[x(0) \neq 0\]

Answer 3

You mean
What is u(x) so that
\[
\int_{0^{-}}^{0^{+}} u(x) dx =1
\]

Answer 4

yeah sorry
\[u(0)\neq0\]

\[u(0)=\infty\]

Answer 5

u is the Dirac delta function at zero, see
http://en.wikipedia.org/wiki/Dirac_delta_function

Answer 6

you got it!

Answer 7

yeah sorry about putting up the incorrect question,