File:Chebyshev-smooth.svg

Graph of the smoothed Chebyshev function. More precisely, this shows a graph of

${\displaystyle {\psi }_1(x)-\frac{x^2}{2}={\displaystyle \underset{0}{\overset{x}{\int }}}\psi (t)dt-\frac{x^2}{2}}$

between ${\displaystyle x=0}$ and ${\displaystyle x=10^6}$.

Created by Linas Vepstas 3 July 2006 Template:GFDL Template:Copy to Wikimedia Commons