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Intro - Primitiva funktionen

Gissa och öva.

Fundera över det inversa sambandet

Öva på OlleH

Flippa = Gör detta till nästa lektion!

Till nästa gång: se filmen om Riemannsumma


Intro - Riemannsumma

Integral - Riemannsumma

Kan man tänka sig någon trevlig frågeställning som ingång till integralerna?

Börja med att visa Riemannsumman för att ta reda på arean under en graf.

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Övning Riemannsumma i GGb

Uppgift
laborera själv i Geogebra

Denna GGB ger dig möjlighet att flytta stapeln och att testa olika funktioner.

Du kan ändra på antalet staplar och se hur det påverkar beräkningen.

Här är GGB:n:

Vad lärde du dig av denna övning?


uppg 2

Testa denna: http://www.geogebratube.org/student/m11330

Hur hanteras negativa areor?

Uppg 3

Man kan skapa Riemannsummor mellan två funktioner:

Mer om integraler

ProofWiki

Mekaniken

Jämför med mekaniken, sträckan är arean under en vt-graf.

problemlösning med integraler

Mall:Lma3C