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人気のある微分積分 >

integral from 0 to 24 of x^2(1/288 x)

解

\int_{0}^{24} x^{2} (\frac{1}{288} x) d x

解

288

解答ステップ

\int_{0}^{24} x^{2} \frac{1}{288} x d x

定数を除く:

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

= \frac{1}{288} \cdot \int_{0}^{24} x^{2} x d x

簡素化

x^{2} x : x^{3}

= \frac{1}{288} \cdot \int_{0}^{24} x^{3} d x

べき乗則を適用する

= \frac{1}{288} [\frac{x ^{4}}{4}]_{0}^{24}

限度を計算する:

82944

= \frac{1}{288} \cdot 82944

簡素化

= 288

グラフ

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