Re: [積分] Green's theorem

[BaBi (迅雷不及掩耳盜鈴)]

※ 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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推 plowsavior:感謝!!