полнотекстовый ресурс

полнотекстовый ресурс полнотекстовый ресурс

library.psu.kz
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0 1+ х 4/5 З-Зу/2 1.25. Jd x j fl.x,y)dy. 1.26. J dy J fi,x,y)dx. -i - JT T x ° i+J- 1 у 1 7 l- (x - l)J 1.27. | /{x,y)dx. 1.2*. J & J Л *. У)^- О О -x О 2у+1 3 1.29. J J{x,y)dx. 1.30. Jetxr J Дх, y)dy. -1 -2-y О 0 2. Вычислить тройной интеграл по области У, ограниченной заданными поверхностями. 2.1. fJJz V x 2 +>2dxdydz, У. у Щ 0 , 1 “ 0, z = 2 , х2 + j»2 “ 2х. V 2.2. | | | (x 2 + z2)

2.11. jjjdxdydz, V: z = Ja 2-x2-y2 , z = Jx ' + y2. V 2.12. [[[sdxdydz, V: z = 2-(x2 + y2) , z = x2 + y2. V 2.13. [\Ux 2 + l)dxdydz, V: x2 + y2 = 1, z = x2 + y2 , z^ 0 . V 2.14. J J J (г2 +1 )dxdydz, V: 2 = x +y2, z£0, z ^ l . V л/7+7 : ■ 2.15. f f J — —dxdtydz, V. y ’ + z = 1, x = y2 + z2 , x>0. 2.16. j jj ( x 2 + y2 + z)dxdydz, V: x'+ y2 = 9 ,z S 0 ,z ^ 3 . V JiF+7 2.17. f f f —I е— =-- r dxdydz,V:x2 + y2 + z2 = l.zSsO. JJKJ ( x + / + z ) 2.18. f f | y'dxdy dz, K: x2 +y2 = 1, z2 = x2 + y2 , z^O. К 2.19. f f f zdxdydz x2 + y2 + ^ > i , x2 + y2 + z20. I 2 2 2 К Vx +y +z 2.20. JJJd x rrfK*, И x2 + y2 = 4 , z = 5-(x2 + y2) , z^O. V 2.21. f f f j l f e l ,K z = l- x 2- / ,z > 0 . J J J Г. 2 2 V л/1-х -y 2.22. |Jf(x-2)flbc

2.11. jjjdxdydz, V: z = Ja 2-x2-y2 , z = Jx ' + y2.<br />

V<br />

2.12. [[[sdxdydz, V: z = 2-(x2 + y2) , z = x2 + y2.<br />

V<br />

2.13. [\Ux 2 + l)dxdydz, V: x2 + y2 = 1, z = x2 + y2 , z^ 0 .<br />

V<br />

2.14. J J J (г2 +1 )dxdydz, V: 2 = x +y2, z£0, z ^ l .<br />

V<br />

л/7+7 : ■<br />

2.15. f f J — —dxdtydz, V. y ’ + z = 1, x = y2 + z2 , x>0.<br />

2.16. j jj ( x 2 + y2 + z)dxdydz, V: x'+ y2 = 9 ,z S 0 ,z ^ 3 .<br />

V<br />

JiF+7<br />

2.17. f f f —I е— =-- r dxdydz,V:x2 + y2 + z2 = l.zSsO.<br />

JJKJ ( x + / + z )<br />

2.18. f f | y'dxdy dz, K: x2 +y2 = 1, z2 = x2 + y2 , z^O.<br />

К<br />

2.19. f f f zdxdydz x2 + y2 + ^ > i , x2 + y2 + z20.<br />

I 2 2 2<br />

К Vx +y +z<br />

2.20. JJJd x rrfK*, И x2 + y2 = 4 , z = 5-(x2 + y2) , z^O.<br />

V<br />

2.21. f f f j l f e l ,K z = l- x 2- / ,z > 0 .<br />

J J J Г. 2 2<br />

V л/1-х -y<br />

2.22. |Jf(x-2)flbc

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