File:Sinesquaredwithantiderivative.png

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Sinesquaredwithantiderivative.png(360 × 181 pixels, file size: 9 KB, MIME type: image/png)

This file was created using Wolfram Mathematica 8.0 with the following code:

f[x_] := Integrate[(Sin[t])^2, {t, 0, x}]
Plot[{(Sin[x])^2, f[x]}, {x, -2 Pi, 2 Pi}, AspectRatio -> 1/2, 
 Epilog -> {PointSize[0.02], Point[{0, 0}], Point[{Pi/2, 1}], 
   Point[{Pi, 0}], Point[{3 Pi/2, 1}], Point[{2 Pi, 0}], 
   Point[{-Pi/2, 1}], Point[{-Pi, 0}], Point[{-3 Pi/2, 1}], 
   Point[{-2 Pi, 0}], Red, Point[{0, 0}], Point[{Pi/2, Pi/4}], 
   Point[{Pi, Pi/2}], Point[{3 Pi/2, 3 Pi/4}], Point[{2 Pi, Pi}], 
   Point[{-Pi/2, -Pi/4}], Point[{-Pi, -Pi/2}], 
   Point[{-3 Pi/2, -3 Pi/4}], Point[{-2 Pi, -Pi}], Black, Dashed, 
   Line[{{Pi/2, -Pi}, {Pi/2, Pi}}], Line[{{Pi, -Pi}, {Pi, Pi}}], 
   Line[{{3 Pi/2, -Pi}, {3 Pi/2, Pi}}], 
   Line[{{2 Pi, -Pi}, {2 Pi, Pi}}], Line[{{-Pi/2, -Pi}, {-Pi/2, Pi}}],
    Line[{{-Pi, -Pi}, {-Pi, Pi}}], 
   Line[{{-3 Pi/2, -Pi}, {-3 Pi/2, Pi}}], 
   Line[{{-2 Pi, -Pi}, {-2 Pi, Pi}}], 
   Text["\[Pi]/2", {Pi/2 - 0.3, -3}], Text["\[Pi]", {Pi - 0.2, -3}], 
   Text["3\[Pi]/2", {3 Pi/2 - 0.4, -3}], 
   Text["2\[Pi]", {2 Pi - 0.3, -3}], 
   Text["-\[Pi]/2", {-Pi/2 + 0.4, 3}], Text["-\[Pi]", {-Pi + 0.3, 3}],
    Text["-3\[Pi]/2", {-3 Pi/2 + 0.5, 3}], 
   Text["-2\[Pi]", {-2 Pi + 0.4, 3}]}]

File history

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Date/TimeThumbnailDimensionsUserComment
current16:47, 28 May 2012Thumbnail for version as of 16:47, 28 May 2012360 × 181 (9 KB)Vipul (talk | contribs)
00:52, 4 September 2011No thumbnail360 × 181 (9 KB)Vipul (talk | contribs)
20:21, 3 September 2011
Error creating thumbnail: File missing
360 × 181 (6 KB)Vipul (talk | contribs)This file was created using [http://www.wolfram.com/mathematica Wolfram Mathematica 8.0] with the following code: <pre>f[x_] := Integrate[(Sin[t])^2, {t, 0, x}] Plot[{(Sin[x])^2, f[x]}, {x, -2 Pi, 2 Pi}, AspectRatio -> 1/2]</pre>
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