<?xml version="1.0" encoding="utf-8"?>
<geogebra format="4.4" version="4.4.13.0" id="baf1c4de-d5b5-4aea-810c-50c19ee2e473" xsi:noNamespaceSchemaLocation="http://www.geogebra.org/ggb.xsd" xmlns="" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" >
<gui>
<window width="1366" height="728" />
<perspectives>
<perspective id="tmp">
<panes>
<pane location="" divider="0.18521229868228403" orientation="1" />
</panes>
<views>
<view id="4" toolbar="0 59 || 2020 , 2021 , 2022 , 66 || 2001 , 2003 , 2002 , 2004 , 2005 || 2040 , 2041 , 2042 , 2044 , 2043" visible="false" inframe="false" stylebar="false" location="1,1" size="200" window="0,0,400,400" />
<view id="1" visible="true" inframe="false" stylebar="false" location="1" size="1092" window="0,0,400,400" />
<view id="2" visible="true" inframe="false" stylebar="false" location="3" size="253" window="0,0,200,400" />
<view id="8" visible="false" inframe="false" stylebar="false" location="1" size="150" window="50,50,500,500" />
<view id="16" visible="false" inframe="false" stylebar="false" location="1" size="150" window="50,50,500,500" />
<view id="32" visible="false" inframe="false" stylebar="true" location="1" size="150" window="50,50,500,500" />
<view id="64" visible="false" inframe="true" stylebar="true" location="1" size="150" window="50,50,500,500" />
<view id="4097" visible="false" inframe="true" stylebar="true" location="1" size="150" window="50,50,500,500" />
<view id="70" visible="false" inframe="true" stylebar="true" location="1" size="150" window="50,50,500,500" />
</views>
<toolbar show="true" items="0 39 59 | 1 501 67 , 5 19 , 72 | 2 15 45 , 18 65 , 7 37 | 4 3 8 9 , 13 44 , 58 , 47 | 16 51 64 , 70 | 10 34 53 11 , 24 20 22 , 21 23 | 55 56 57 , 12 | 36 46 , 38 49 50 , 71 | 30 29 54 32 31 33 | 17 26 62 73 , 14 66 68 | 25 52 60 61 | 40 41 42 , 27 28 35 , 6" position="1" help="false" />
<input show="true" cmd="true" top="false" />
<dockBar show="false" east="false" />
</perspective>
</perspectives>
<labelingStyle val="3"/>
<font size="12"/>
<graphicsSettings javaLatexFonts="false"/>
</gui>
<euclidianView>
<size width="1092" height="561"/>
<coordSystem xZero="379.734636920403" yZero="374.6276318025255" scale="33.40670071259313" yscale="33.406700712593135"/>
<evSettings axes="true" grid="false" gridIsBold="false" pointCapturing="3" rightAngleStyle="1" checkboxSize="26" gridType="0"/>
<bgColor r="255" g="255" b="255"/>
<axesColor r="0" g="0" b="0"/>
<gridColor r="192" g="192" b="192"/>
<lineStyle axes="1" grid="10"/>
<axis id="0" show="true" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
<axis id="1" show="true" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
</euclidianView>
<kernel>
<continuous val="false"/>
<usePathAndRegionParameters val="true"/>
<decimals val="2"/>
<angleUnit val="degree"/>
<algebraStyle val="0"/>
<coordStyle val="0"/>
<angleFromInvTrig val="false"/>
</kernel>
<scripting blocked="false" disabled="false"/>
<construction title="定積分" author="何嘉誠" date="">
<element type="numeric" label="n">
<value val="1.0"/>
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.1"/>
<layer val="0"/>
<labelMode val="1"/>
<slider min="1" max="30" absoluteScreenLocation="true" width="100.0" x="33.0" y="196.0" fixed="true" horizontal="true"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<animation step="1" speed="1" type="0" playing="false"/>
<auxiliary val="true"/>
</element>
<element type="numeric" label="a">
<value val="-4.0"/>
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.1"/>
<layer val="0"/>
<labelMode val="1"/>
<slider min="-10" max="10" absoluteScreenLocation="true" width="100.0" x="32.0" y="231.0" fixed="true" horizontal="true"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<animation step="1" speed="1" type="0" playing="false"/>
<auxiliary val="true"/>
</element>
<element type="numeric" label="b">
<value val="8.0"/>
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.1"/>
<layer val="0"/>
<labelMode val="1"/>
<slider min="-10" max="10" absoluteScreenLocation="true" width="100.0" x="33.0" y="265.0" fixed="true" horizontal="true"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<animation step="1" speed="1" type="0" playing="false"/>
<auxiliary val="true"/>
</element>
<expression label ="f" exp="f(x) = ((-1) / 4 * x^(2)) + x + 8"/>
<element type="function" label="f">
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="0" playing="false"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
</element>
<command name="LowerSum">
<input a0="f" a1="a" a2="b" a3="n"/>
<output a0="L"/>
</command>
<element type="numeric" label="L">
<value val="0.0"/>
<show object="true" label="false"/>
<objColor r="153" g="51" b="0" alpha="0.1"/>
<layer val="0"/>
<labelOffset x="-30" y="56"/>
<labelMode val="1"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<auxiliary val="true"/>
</element>
<command name="UpperSum">
<input a0="f" a1="a" a2="b" a3="n"/>
<output a0="U"/>
</command>
<element type="numeric" label="U">
<value val="108.0"/>
<show object="true" label="false"/>
<objColor r="153" g="51" b="0" alpha="0.1"/>
<layer val="0"/>
<labelOffset x="57" y="56"/>
<labelMode val="1"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<auxiliary val="true"/>
</element>
<command name="Integral">
<input a0="f" a1="a" a2="b"/>
<output a0="I"/>
</command>
<element type="numeric" label="I">
<value val="72.0"/>
<show object="false" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.1"/>
<layer val="0"/>
<labelOffset x="27" y="75"/>
<labelMode val="1"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<auxiliary val="true"/>
</element>
<expression label="text1" exp=""下限 = " + L" />
<element type="text" label="text1">
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<font serif="false" sizeM="1.5" size="6" style="0"/>
<absoluteScreenLocation x="39" y="99"/>
</element>
<expression label="text2" exp=""上限 = " + U" />
<element type="text" label="text2">
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<font serif="false" sizeM="1.5" size="6" style="0"/>
<absoluteScreenLocation x="39" y="62"/>
</element>
<expression label="text3" exp="" \int_{a }^{b }f(x) dx = " + I" />
<element type="text" label="text3">
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<isLaTeX val="true"/>
<font serif="false" sizeM="1.5" size="6" style="0"/>
<absoluteScreenLocation x="15" y="103"/>
</element>
</construction>
</geogebra>
