灵鹊做题网大一高数格林公式问题积分式如图,证明由任意光滑分段闭合曲线C所求得的该积分值大小,仅取决于闭合曲线C所围成区域的面积大小
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大一高数格林公式问题
积分式如图,证明由任意光滑分段闭合曲线C所求得的该积分值大小,仅取决于闭合曲线C所围成区域的面积大小；并指出积分值与闭合曲线C围成面积之间的确切关系.
（原题：Show that the walue of ∮C(xydx+(x^2·y+2x)dy）over any pieceewise smooth,closed curve C depends only on the area of the region enclosed by C.Explicitly state the relationship between the integral and the area enclosed by C.
式子打错了，应该是：
积分式如图,证明由任意光滑分段闭合曲线C所求得的该积分值大小,仅取决于闭合曲线C所围成区域的面积大小；并指出积分值与闭合曲线C围成面积之间的确切关系.
（原题：Show that the walue of ∮C(xydx+(x^2·y+2x)dy）over any pieceewise smooth,closed curve C depends only on the area of the region enclosed by C.Explicitly state the relationship between the integral and the area enclosed by C.
式子打错了，应该是：
