




Uch karrali integrallarni hisoblashda silindrik va sferik koordinatalar sistemasidan foydalanish
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MUNDARIJA: KIRISH………………………………………………………………………….....3 I BOB. UCH KARRALI INTEGRALLAR VA ULARNING HISOBLASH USULLARI 1.1. Uch karrali integrallar haqida umumiy tushuncha va ularning geometrik talqini..................................................................………….…….………………….6 1.2. Uch karrali integralni Dekart koordinatalarida hisoblash va o‘zgaruvchilarni almashtirish usullari.............................................……………….….........................9 II BOB. SILINDRIK VA SFERIK KOORDINATALARDA UCH KARRALI INTEGRALLARNI HISOBLASH METODIKASI 2.1. Silindrik koordinatalar sistemasiga o‘tish va uch karrali integrallarni soddalashtirish...................................................................………..........................14 2.2. Sferik koordinatalar sistemasiga o‘tish va fazoviy integrallarni hisoblash.........................................……………….......………….…….…………20 2.3. Uch karrali integralning amaliy tadbiqlari.........................................................25 XULOSA…………………………………………………………………...….....29 FOYDALANILGAN ADABIYOTLAR…………………….………………….31
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Uch karrali integrallarni hisoblashda silindrik va sferik koordinatalar sistemasidan foydalanish

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