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人気のある微分積分 >

integral from 1 to 12 of 8x^{-2}

解

\int_{1}^{12} 8 x^{- 2} d x

解

\frac{22}{3}

+1

十進法表記

7.33333 \dots

解答ステップ

\int_{1}^{12} 8 x^{- 2} d x

定数を除く:

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

= 8 \cdot \int_{1}^{12} x^{- 2} d x

べき乗則を適用する

= 8 [- \frac{1}{x}]_{1}^{12}

限度を計算する:

\frac{11}{12}

= 8 \cdot \frac{11}{12}

簡素化

= \frac{22}{3}

グラフ

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