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人気のある微分積分 >

integral from 0 to 8 of 5/(x^{2/3)}

解

\int_{0}^{8} \frac{5}{x ^{\frac{2}{3}}} d x

解

30

解答ステップ

\int_{0}^{8} \frac{5}{x ^{\frac{2}{3}}} d x

定数を除く:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 5 \cdot \int_{0}^{8} \frac{1}{x ^{\frac{2}{3}}} d x

べき乗則を適用する

= 5 [3 x^{\frac{1}{3}}]_{0}^{8}

限度を計算する:

6

= 5 \cdot 6

簡素化

= 30

グラフ

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