O`zbekiston respublikasi oliy va o’rta maxsus ta`lim vazirligi buxoro davlat universiteti fizika-matematika fakulteti

Buxoro davlat universiteti fizika-matematika fakulteti

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