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人気のある微分積分 >

integral from-1 to 4 of |x-2|

解

\int_{- 1}^{4} ∣ x - 2 ∣ d x

解

\frac{13}{2}

+1

十進法表記

6.5

解答ステップ

\int_{- 1}^{4} ∣ x - 2 ∣ d x

絶対数を排除する

= \int_{- 1}^{2} - x + 2 d x + \int_{2}^{4} x - 2 d x

\int_{- 1}^{2} - x + 2 d x = \frac{9}{2}

\int_{2}^{4} x - 2 d x = 2

= \frac{9}{2} + 2

簡素化

\frac{9}{2} + 2 : \frac{13}{2}

= \frac{13}{2}

グラフ

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