pstricks: Color area under graph: what is dup?

Question

For coloring an area under a graph, there exist multiple approaches with pstricks.

I found a solution that was never mentioned on stack-exchange, but seems to be really simple:

\psplot[linewidth=1pt,linecolor=blue]{0.01}{5}{x log}
\pscustom[fillstyle=solid,fillcolor=cyan,linestyle=none]{%
  \psline(3,0)(!3 dup log)
  \psplot{3}{4}{x log}
  \psline(!4 dup log)(4,0)}
\psaxes{->}(0,0)(-.5,-2)(5,1)

However, I do not know how to adapt this example to e.g. x^2 because I do not understand what dup does. Can anybody explain it?

Answer 1

You can use the algebraic notation instead:

\documentclass{article}
\usepackage{pst-plot}
\begin{document}

\begin{pspicture}(-1,-2)(6,2)
\psplot[linewidth=1pt,linecolor=blue,algebraic]{0.01}{5}{log(x)}
\pscustom[fillstyle=solid,fillcolor=cyan,linestyle=none]{%
    \psline(3,0)(*3 {log(3)})
    \psplot[algebraic]{3}{4}{log(x)}
    \psline(*4 {log(4)})(4,0)}
\psaxes{->}(0,0)(-.5,-2)(5,1)   
\end{pspicture} 

\end{document}