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人気のある微分積分 >

integral from 0 to 6 of |x-5|

解

\int_{0}^{6} ∣ x - 5 ∣ d x

解

13

解答ステップ

\int_{0}^{6} ∣ x - 5 ∣ d x

絶対数を排除する

= \int_{0}^{5} - x + 5 d x + \int_{5}^{6} x - 5 d x

\int_{0}^{5} - x + 5 d x = \frac{25}{2}

\int_{5}^{6} x - 5 d x = \frac{1}{2}

= \frac{25}{2} + \frac{1}{2}

簡素化

\frac{25}{2} + \frac{1}{2} : 13

= 13

グラフ

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