# Why this :$I(x)=\int_{-x}^x {0.5(\exp({-t² {\operatorname{erf}(t^2)}})}dt$ is not error function for $|x| >3$?

This integral : $$I(x)=\int_{-x}^x {0.5(\exp({-t² {\operatorname{erf}(t^2)}})}dt$$ close to $$x$$ for $$|x|<3$$ and converge to $$1$$ for $$|x|>3$$ from $$-\infty \to +\infty$$ as shown here such that concide with error function for that large range over Real number , Now my question here is it possible to consider that distribution as Gausse distribution for $$|x|>3$$ since there is a concidence ?

• What does $|x| <-3$ mean? – Kavi Rama Murthy Nov 17 '18 at 23:14
• sorry i meant 3 – zeraoulia rafik Nov 17 '18 at 23:15