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人気のある微分積分 >

integral from 0 to 1 of 12\sqrt[12]{x}

解

\int_{0}^{1} 12 12 x d x

解

\frac{144}{13}

+1

十進法表記

11.07692 \dots

解答ステップ

\int_{0}^{1} 12 12 x d x

定数を除く:

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

= 12 \cdot \int_{0}^{1} 12 x d x

べき乗則を適用する

= 12 [\frac{12}{13} x^{\frac{13}{12}}]_{0}^{1}

限度を計算する:

\frac{12}{13}

= 12 \cdot \frac{12}{13}

簡素化

= \frac{144}{13}

グラフ

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