EGRI CHIZIQLI INTEGRALNI HISOBLASH GRIN FORMULASI
Keywords:
Egri chiziqli integral, birinchi tur integral, ikkinchi tur integral, yopiq egri chiziq, ochiq egri chiziq, ikki karrali integral, Grin formulasi, vektor maydon, matematik analiz, integral hisoblash, geometrik interpretatsiya, fizik kattaliklar, ish va aylanish momenti, maydon integrali, matematik nazariya, amaliy masalalar, integralni soddalashtirish, hisoblash usullari. Egri chiziqli integralning ayrim turlarini to‘g‘ridan-to‘g‘ri hisoblash murakkab bo‘lishi mumkin. Shu sababli ularni ikki karrali integralga o‘tkazib hisoblash imkonini beruvchi Grin formulasi katta ahamiyatga egaAbstract
Ushbu maqolada egri chiziqli integrallar tushunchasi, ularning turlari hamda ularni hisoblash usullari bayon etilgan. Xususan, yopiq egri chiziqlar bo‘yicha hisoblanadigan ikkinchi tur egri chiziqli integralni soddalashtirishda muhim ahamiyatga ega bo‘lgan Grin formulasi yoritilgan. Grin formulasining matematik mazmuni, qo‘llanish shartlari va amaliy ahamiyati misollar orqali tushuntirilgan. Maqola matematik analiz fanini o‘rganayotgan talabalar uchun mo‘ljallangan. Maqolada Grin formulasining matematik ifodasi, qo‘llanish shartlari hamda nazariy asoslari izchil bayon etilgan.
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MIT OpenCourseWare: Multivariable Calculus
