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Zuletzt geändert von Holger Engels am 2026/10/12 09:22
Von Version 54.1
bearbeitet von Anna Kukin
am 2026/07/24 18:42
Änderungskommentar: Es gibt keinen Kommentar für diese Version
Auf Version 55.1
bearbeitet von Holger Engels
am 2026/09/23 17:43
Änderungskommentar: Neues Bild Integrale berechnen.svg hochladen

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1 -xwiki:XWiki.akukin
1 +xwiki:XWiki.holgerengels
Inhalt
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21 21  1. Berechne das Integral von //h(x)// im Intervall {{formula}}I[0;3]{{/formula}}.
22 22  
23 23  |=x|-1|0| 1|2| 3|4
24 -|=h{(x)}|1,5|0|-1,5|0|7,5|24
25 -|=H{(x)}|2,13|3|2,13|1|4,13|19
24 +|=h(x)|1,5|0|-1,5|0|7,5|24
25 +|=H(x)|2,13|3|2,13|1|4,13|19
26 26  {{/aufgabe}}
27 27  
28 -
29 29  {{aufgabe id="HDI erklären" afb="II" kompetenzen="K4, K6" quelle="Sommerfeld" zeit="15"}}
30 -
31 31  Gegeben ist eine stetige Funktion {{formula}}f{{/formula}}. Die zugehörige Integralfunktion mit unterer Grenze {{formula}}a{{/formula}} ist definiert durch
32 32  {{formula}}
33 33  J_a(x) = \int_a^x f(t)\,dt.
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35 35  
36 36  (%class="abc" %)
37 37  1. Erläutere in eigenen Worten, was der Funktionswert {{formula}}J_a(x){{/formula}} geometrisch bedeutet. Fertige zur Veranschaulichung eine Skizze an.
38 -1. Gib den Wert {{formula}}J_a(a){{/formula}} an und begründe deine Antwort.
36 +1. Gib den Wert {{formula}}J_a(a){{/formula}} an und begründe deine Antwort.
39 39  1. Erläutere den Zusammenhang zwischen {{formula}}J_a{{/formula}}und f.
40 40  {{/aufgabe}}
41 41  
Integrale berechnen.svg
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1 +xwiki:XWiki.holgerengels
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