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人気のある微分積分 >

integral from 0 to 14 of |x-7|

解

\int_{0}^{14} ∣ x - 7 ∣ d x

解

49

解答ステップ

\int_{0}^{14} ∣ x - 7 ∣ d x

絶対数を排除する

= \int_{0}^{7} - x + 7 d x + \int_{7}^{14} x - 7 d x

\int_{0}^{7} - x + 7 d x = \frac{49}{2}

\int_{7}^{14} x - 7 d x = \frac{49}{2}

= \frac{49}{2} + \frac{49}{2}

簡素化

\frac{49}{2} + \frac{49}{2} : 49

= 49

グラフ

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