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)
қосындыны құрып, осының шегі түрінде f(M)dy – тің екінші типті қисық сызықты интегралын тауып аламыз
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Бұл интегралдардың қосындысың қисық сызықты интеграл деп атайды және мына түрде жазады
С =(AB) қисығы параметрлік теңдеулермен берілген болсын. Онда қисық сызықты интегрлады мына формуламен есептейді
Енді интеграл айқындалған y=y(x) теңдеумен берілген қисықтың бойымен алынған болсын және де а-дан b – ге дейін х өзгерегенде нүктенің қисықтың бойымен жылжуы А – дан В- ге дейін болатын болсын.
Әдебиеттер:
1. Қ. Қабдықайыр. Жоғары математика. Қазақ университеті. 2004. (546-547 б.)
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