作者metastable (清士)
看板trans_math
标题散度问题
时间Mon May 6 12:05:58 2013
题目(这是某校内期考题)
a＞0,b跟c属於R,b＜c,S is part of cylinder S =｛﹙x,y,z﹚,x^2+y^2=a^2,b≦z≦c｝
which is oriented with the unit normal pointing toward z-axis.
Evaluate the surface intergral I =∫∫x^3 dydz + x^2 y dzdx + x^2 z dxdy?
6
以下是答案的某一步
∫∫∫5x^2 dxdydz = -I + ∫∫ x^2 z dxdy + ∫∫ x^2 z dxdy
I 6 x^2+y^2≦a,z=c x^2+y^2≦a,z=b
有谁可以解释这这一步是怎出来的吗
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1F：→ Sumino:我也看不懂那个-I6怎麽来的... 1.172.103.52 05/06 12:30
2F：→ Sumino:最後一项应该要有负吧 1.172.103.52 05/06 12:30