範例：數值二重積分

運算子 > 微積分運算子 > 範例：數值二重積分

範例：數值二重積分

計算 x-y 平面之區域的實數函數積分，以計算該範圍的質量及質量中心。

1. 定義要計算積分的區域邊界。讓所有 x 成為 a < x < b 且 c(x) < y < d(x)。

按一下以複製此運算式

按一下以複製此運算式

按一下以複製此運算式

按一下以複製此運算式

2. 繪製要計算積分的區域。

按一下以複製此運算式

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按一下以複製此運算式

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按一下以複製此運算式

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3. 定義要求解積分的實數函數。

按一下以複製此運算式

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函數 f(x, y) 是在點 (x, y) 上的密度。點與原點之間的距離是成比例的。

4. 求解已定義區域內的質量。

按一下以複製此運算式

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按一下以複製此運算式

5. 尋找質量CoM中心的位置。

按一下以複製此運算式

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按一下以複製此運算式

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按一下以複製此運算式

6. 顯示上一個繪圖上的 CoM

按一下以複製此運算式

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