(*^
::[ Information =
"This is a Mathematica Notebook file. It contains ASCII text, and can be
transferred by email, ftp, or other text-file transfer utility. It should
be read or edited using a copy of Mathematica or MathReader. If you
received this as email, use your mail application or copy/paste to save
everything from the line containing (*^ down to the line containing ^*)
into a plain text file. On some systems you may have to give the file a
name ending with ".ma" to allow Mathematica to recognize it as a Notebook.
The line below identifies what version of Mathematica created this file,
but it can be opened using any other version as well.";
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MacintoshStandardFontEncoding;
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ClearAll;
$DefaultFont = {"Times-Roman",10};
Needs["Statistics`DataManipulation`"];
Needs["Graphics`Graphics`"];
njags = 100;
text1 = Graphics[Text["0",{-0.03,0}]];
text2 = Graphics[Text["x",{1.03,0}]];
text3 = Graphics[Text["y",{0,0.065}]];
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axesx = Graphics[Line[{{0,0},{1,0}}]];
axesy = Graphics[Line[{{0,0},{0,0.06}}]];
g[x_]:= x^2(1-x)^2 + 0.02;
poly[a_,b_]:= Join[Table[{a+i(b-a)/njags,g[a+i(b-a)/njags]},
{i,0,njags}],{{b,0},{a,0}}];
shade[a_,b_,c_]:= Graphics[{GrayLevel[c],Polygon[poly[a,b]]}];
graph = Graphics[Plot[g[x],{x,0,0.9}]];
fill = {shade[0.27,0.51,0.65],shade[0.51,0.79,0.35]};
plot = Show[axesx,axesy,text1,text2,text3,text4,text5,text6,fill,graph];
Show[GraphicsArray[{{plot}}],
PlotLabel->" Figure 8.2\n\n
Area(f,[a,c]) + Area(f,[c,b]) = Area(f,[a,b])"]
^*)