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II. Integration – 4. Koordinatskift 248 ✌ Beregn nyttige integraler i en variabel. ✌ Find areal, volumen, tyngdepunkt og moment. ✌ Bestem ladning af elektriske fordelinger. ✌ Statisktiske fordelinger for 2 stokastiske variable. ✌ Fortsæt med 3 variable. . . 4.39. Flere variable ☞ [S] 12.7 Triple integrals Udvidelse ✌ Volumenet af en kasse er produktet af kantlængderne. ✌ Riemannsummen for en funktion i 3 variable defineret på en kasse er tripelsummen af funktionsværdi gange volumen for kassen opdelt i klodser. ✌ Tripelintegralet er grænseværdien af Riemansummerne for finere klodsinddeling. ✌ Tripelintegralet beregnes ved Fubinis sætning som 3 itererede integraler. ✌ Fortsæt med 4 eller flere variable. . .
1. l’Hospitals regel og uegentlige integraler III Potensrækker 1.1. Oversigt ☞ [S] 4.5, 5.10 Nøgleord og begreber ✌ Ubestemte udtryk ✌ l’Hospitals regel 1 ✌ l’Hospitals regel 2 ✌ Test l’Hospitals regel ✌ Uegentlige integraler 1 ✌ Test uegentlige integraler ✌ Uegentlige integraler 2 ✌ Test uegentlige integraler 249
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CALCULUS "SLIDES" TIL CALCULUS 1 +
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3. Generelle områder 201 4. Koordi
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Forord "Slides" til forelæsningern
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