範例：弧線長度與曲面面積

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範例：弧線長度與曲面面積

針對合併區中其導數為連續的函數，求解其弧長或曲面面積。

弧長

1. 使用 sin 函數以定義一個變數的函數。

按一下以複製此運算式

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2. 定義一個區間的端點。

按一下以複製此運算式

按一下以複製此運算式

3. 將刻度線值下限設定為 a，並將刻度線值上限設定為 b，在區間 [a, b] 中繪製函數 f。

按一下以複製此運算式

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4. 計算區間 [a, b] 中的弧長。

按一下以複製此運算式

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曲面面積

如下列條件所述，計算圓上的曲面面積：

按一下以複製此運算式

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1. 定義含有兩個變數的函數。

按一下以複製此運算式

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2. 定義圓形積分區域的半徑。

按一下以複製此運算式

3. 計算圓上的曲面面積。

按一下以複製此運算式

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4. 將函數轉換為極座標系統，並計算圓上的曲面面積。

按一下以複製此運算式

按一下以複製此運算式

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