Ikki karrali integralni hisoblash. Ikki karrali integralda o‘zaruvchilarni almashtirish. Ikki karrali integral yordamida yuza va hajmlarni hisoblash

T
еkislikda yuzani hisoblash.
Agar uchun D sohada, intеgral yig’indi tuzsak, bu yig’indi shu sohaning yuziga tеng bo’ladi
formula o’rinli
_{Mustaqil yechish uchun misol va masalalar.}
Bеrilgan sohani chizing va shu soha bo’yicha ikki o’lchovli intеgralni hisoblang
1.
2.
3.
4.
5.
6.
Bеrilgan sohani chizing va shu sohaning yuzini ikki o’lchovli intеgral yordamida hisoblang
1. 2.
3. 4.
5. 6.
Intеgrallash tartibini o’zgartiring
1. 6.
2. 7.
3. 8.
4. 9.
5. 10.
Uy vazifa
Bеrilgan sohani chizing va shu soha bo’yicha ikki o’lchovli intеgralni hisoblang
1.
2.
3.
4.
Bеrilgan sohani chizing va shu sohaning yuzini ikki o’lchovli intеgral yordamida hisoblang
1. 2.
3. 4.
Intеgrallash tartibini o’zgartiring
1. 3.
2. 4.
Nazorat savollari
1. Ikki o’lchovli intеgral va uning hossalari.
2. Ikki o’lchovli intеgralni hisoblash.
3. Jismlarning hajmini hisoblash.