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人気のある微分積分 >

integral from 0 to 11/12 of 20x

解

\int_{0}^{\frac{11}{12}} 20 x d x

解

\frac{605}{72}

+1

十進法表記

8.40277 \dots

解答ステップ

\int_{0}^{\frac{11}{12}} 20 x d x

定数を除く:

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

= 20 \cdot \int_{0}^{\frac{11}{12}} x d x

べき乗則を適用する

= 20 [\frac{x ^{2}}{2}]_{0}^{\frac{11}{12}}

限度を計算する:

\frac{121}{288}

= 20 \cdot \frac{121}{288}

簡素化

= \frac{605}{72}

グラフ

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