O`ZBEKISTON RESPUBLIKASI OLIY VA O’RTA MAXSUS
TA`LIM VAZIRLIGI
BUXORO DAVLAT UNIVERSITETI
FIZIKA-MATEMATIKA FAKULTETI
“Matematika” kаfеdrasi
5130100 - “Matematika” ta`lim yo`nalishi bo`yicha bakalavr
darajasini olish uchun
Ibodov Nabijon Muzaffarovichning
“Gauss Ostrogradisky formulalari va ularning tadbiqlari”
mavzusida
BITIRUV МАLАKАVIY ISHI
“Ish ko’rildi va himoyaga ruxsat Ilmiy rahbar: ________ Q.D. Durdiyev
berildi” «______» _____________________2016 y.
Kafedra mudiri:
________dots. R.T. Muxitdinov Taqrizchi:_______A. O. Umarov “______”______________2016 y. «______» __________________2016 y.
“Himoya qilishga ruxsat berildi”
Fakultet dekani prof. Sh.M. Mirzayev
“_______” ________ 2016 y.
Buxoro-2016
Mundarija.
Kirish…………………………………………………………………………......................................3
I bob. Egri chiziqli integrallar.
1.1.Egri chiziqli integral………………………….…………………………………………………………..11
1.2. Egri chiziqli integralni hisoblash………………………………..…………………………………16
1.3. Egri chiziq bilan chegaralangan sohaning yuzi egri chiziqli integral orqali ifodalash.………………………………………………………......................................................21
1.4. Grin formulasi..................................................................................................26
II bob. Sirtlar bo’yicha olingan integrallar
2.1. Sirt integrali………………………………………………………............................................39
2.2. Sirt integralini hisoblash……………………............................................................43
2.3. Stoks formulasi................................................................................................47
2.4. Ostrogradskiy formulasi..................................................................................54
2.5 Grin formulalari …………………………………………………………………………………………..58
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