1. 就帶入stoke's theorem 即可解出
2. 由greem's theorem
原式 = SS (2-3)dxdy | 圓心(1,5) 半徑R=2之圓
=> -SSdxdy =-A =-4PI
※ 引述《boaige (柏艾歌)》之銘言:
: 1.
: Use the Stoke's theorem to evaluate F= (2z+x)i + (y-z)j + (x+y)k
: ,where C is the triangle with vertices (1,0,0).(0,1,0).(0,0,1)
: 2.
: S (x^5+3y)dx + (2x-exp(y^3))dy , 其中C為圓(x-1)^2 + (y-5)^2 =4
: c
: (S:積分符號)
: 感恩!!!
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