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Course 154

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Naj bo  telo, ki ga omejujejo ploskve , , , .  Zapiši trojni integral kot trikratni integral.

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Naj bo . Če v integral vpeljemo nove koordinate in , dobimo dvakratni integral 

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Naj bo . Vrednost integrala   je enaka

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Naj bo Če v integral uvedemo polarne koordinate , dobimo integral , kjer je 

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Zamenjaj vrstni red integriranja in izračunaj integral .

Kolikšna je vrednost integrala?

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Skiciraj integracijsko območje in zamenjaj vrstni red integracije: .   Kateri integral dobiš?

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Skiciraj integracijsko območje in zamenjaj vrstni red integracije: .   Kateri integral dobiš?

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Skiciraj integracijsko območje in zamenjaj vrstni red integracije: .  Kateri integral dobiš?

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Zamenjaj vrstni red integriranja in izračunaj integral

Kolikšna je vrednost integrala?

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Skiciraj integracijsko območje in zamenjaj vrstni red integracije: .  Kateri integral dobiš?

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