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Aniq integralning xossalari. O’rta qiymat xaqidagi teoremalar

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MUNDARIJA KIRISH .................................................................................................................... 3 I BOB. ANIQ INTEGRALNING ASOSIY XOSSALARI 1.1. Aniq integralga keltiriladigan masalalar haqida………………………6 1.2. Aniq integralning ta’rifi va uning geometrik ma’nosi………………….6 1.3. Aniq integralning asosiy xossalari.............................................................7 1.4. Aniq integralni hisoblash. N’yuton-Leybnis formulasi………………..9 II BOB. ANIQ INTEGRALNING TATBIQLARI 2.1 Aniq integral yordamida yassi figuralar yuzlarini hisoblash…………..11 2.2. Egri chiziq yoyi uzunligini hisoblash.…………………………………..12 2.3. Aylanma jism hajmini hisoblash. ………………………………………14 2.4. Aniq integralning iqtisodiyotga tatbiqlari………………………………14 III BOB ANIQ INTEGRALNI TAQRIBIY HISOBLASH. XOSMAS INTEGRALLAR 3.1. Trapesiyalar formulasi………………………………………………….17 3.2. Simpson formulasi ………………………………………………………18 3.3. Xosmas integrallar. ……………………………………………………..21 IVBOB. O‘RTA QIYMAT HAQIDAGI TEOREMALAR 4.1 Ferma teoremasi…………………………………………………………25 4.2 Roll teoremasi……………………………………………………………26 4.3 Langraj teoremasi……………………………………………………….27 4.4 Koshi teoremasi………………………………………………………….29

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