File:Sinesquaredwithantiderivative.png
No higher resolution available.
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
Click on a date/time to view the file as it appeared at that time.
| 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> |
You cannot overwrite this file.
File usage
The following page uses this file:
