作者BaBi (迅雷不及掩耳盜鈴)
看板trans_math
標題Re: [積分] Green's theorem
時間Thu Feb 20 20:22:07 2014
※ 引述《plowsavior (咕嚕咕咕)》之銘言：
: Using Green's theorem to evaluate the line integral
: 2
: ∫(y - 8y)dx + (2xy + 8x)dy
: c
: If C is the circle
: 2 2
: x + y =1
by Green's Theorem
2
∫(y - 8y)dx + (2xy + 8x)dy
c
= ∫∫[ (2y+8) - (2y-8) ] dxdy
= 16 ∫∫dxdy = 16(pi)
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1F：推 plowsavior:感謝!! 02/20 21:54