Graphics, Figures & Tables ⇒ Area between two Curves

[coachbennett1981]

Morning,

I am having difficulty with filling the area between two curves. I am trying to write several examples for my students to do. Below I have two figures, of which the first, I have figured out how to shade using \pscustom. However, I can't figure out the second graph. I need the area filled on the interval from (0,1) and (1,2).

Any help would be appreciated


Nick

Code: Select all

Code, edit and compile here:

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\documentclass{exam}
 \usepackage{pst-plot}
 \pagestyle{empty}
 \begin{document}
\psset{unit=.65,arrowinset=0,arrowsize=8pt}
\psframebox[fillstyle=solid,fillcolor=black!10,framesep=0pt]{%
\begin{pspicture*}(-6,-10)(6,8.5)
  \pscustom[fillstyle=solid,fillcolor=blue!20,linestyle=none,algebraic]{%
    \psplot{-4}{3}{x^2-9}
  }
  \psplot[arrowinset=0,arrowsize=8pt,linewidth=2pt,algebraic,linecolor=red,arrows=<->]{-4.75}{5}{3-x}
\psplot[arrowinset=0,arrowsize=8pt,linewidth=2pt,algebraic,linecolor=blue,arrows=<->]{-4.15}{4}{x^2-9}
  \psaxes[arrowinset=0,arrowsize=8pt]{<->}(0,0)(-6,-10)(5,8)[$x$,-90][$y$,0]
\end{pspicture*}}
\psset{unit=3,arrowinset=0,arrowsize=8pt}
\psframebox[fillstyle=solid,fillcolor=black!10,framesep=0pt]{%
\begin{pspicture*}(-3,-5)(6,6)
  \pscustom[fillstyle=solid,fillcolor=blue!20,linestyle=none,algebraic]{%
  \psplot{0}{1}{x^2}
  \psplot{0}{1}{2-x^2}
  }
  \psplot[arrowinset=0,arrowsize=8pt,linewidth=2pt,algebraic,linecolor=red]{0}{2}{x^2}
\psplot[arrowinset=0,arrowsize=8pt,linewidth=2pt,algebraic,linecolor=blue]{0}{2}{2-x^2}
  \psaxes[arrowinset=0,arrowsize=8pt]{<->}(0,0)(-2,-2)(5,5)[$x$,-90][$y$,0]
\end{pspicture*}}
 \end{document}
 
 
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Run LaTeX here

[Stefan Kottwitz]

Hi Nick,

give a complete path. You can also swap interval limits. This fills between the two curves in the second plot, I only swapped plot arguments before closing the path:

Code: Select all

Code, edit and compile here:

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\psset{unit=3,arrowinset=0,arrowsize=8pt}
\psframebox[fillstyle=solid,fillcolor=black!10,framesep=0pt]{%
\begin{pspicture*}(-3,-5)(6,6)
  \pscustom[fillstyle=solid,fillcolor=blue!20,linestyle=none,algebraic]{%
  \psplot{0}{1}{x^2}
  \psplot{1}{0}{2-x^2}
  \closepath
  }
  \psplot[arrowinset=0,arrowsize=8pt,linewidth=2pt,algebraic,linecolor=red]{0}{2}{x^2}
\psplot[arrowinset=0,arrowsize=8pt,linewidth=2pt,algebraic,linecolor=blue]{0}{2}{2-x^2}
  \psaxes[arrowinset=0,arrowsize=8pt]{<->}(0,0)(-2,-2)(5,5)[$x$,-90][$y$,0]
\end{pspicture*}}
 
 
הההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההה
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX

Run LaTeX here

curves.png (11.73 KiB) Viewed 4733 times

Stefan

[coachbennett1981]

Cool.. I was so close.. Thank you for taking time to fix this for me. How could I include the interval [1,2]? I am having trouble with that too


Nick

[Johannes_B]

I would simply think adding the following can do the trick. I have to say, that i have no experience with pstricks.

Code: Select all

Code, edit and compile here:

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\pscustom[fillstyle=solid,fillcolor=blue!20,linestyle=none,algebraic]{%
            \psplot{1}{2}{x^2}
            \psplot{2}{1}{2-x^2}
            \closepath
        }
 
 
הההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההה
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX

Run LaTeX here

[coachbennett1981]

Thanks.. I was using the interval from (1,2) for both functions. Thanks for your time