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Az Integrálszámítás Oktatásáról

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  • Körtesi, Péter

Abstract

A határozott integrál értelmezése során különböző integrál-összegekkel találkozhatunk. Nyilvánvaló, hogy a határozott integrál pontosan akkor létezik, ha ezek az integrál-összegek konvergensek. Ez azt is jelenti, hogy ha egy határozott integrál létezik, mert pl. van primitív függvénye az adott intervallumon, vagy az intervallumon folytonos függvény integrálját tekintjük, akkor ez a határozott integrál egyben mindenfajta, sajátos formában felírt integrál-összegnek a határértéke is. -------------------------------------------------------- While introducing the notion of definite integral one use different integral sums. By definition the definit integral exists exactly when the given sums converge. Once the definite integral exists (e.g. the given function has pimitive or it is continous on that interval) it will be the limit of all sums, even special form integral sums as well.

Suggested Citation

  • Körtesi, Péter, 2013. "Az Integrálszámítás Oktatásáról," Acta Carolus Robertus, Karoly Robert University College, vol. 3(1), pages 1-8.
    • Handle: RePEc:ags:hukruc:174112
    DOI: 10.22004/ag.econ.174112
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