# File:Sinesquaredwithantiderivative.png

From Calculus

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/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|

current | 16:47, 28 May 2012 | 360 × 181 (9 KB) | Vipul (talk | contribs) | ||

00:52, 4 September 2011 | No thumbnail | 360 × 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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## File usage

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