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人気のある微分積分 >

integral from 0 to 8 of |x-3|

解

\int_{0}^{8} ∣ x - 3 ∣ d x

解

17

解答ステップ

\int_{0}^{8} ∣ x - 3 ∣ d x

絶対数を排除する

= \int_{0}^{3} - x + 3 d x + \int_{3}^{8} x - 3 d x

\int_{0}^{3} - x + 3 d x = \frac{9}{2}

\int_{3}^{8} x - 3 d x = \frac{25}{2}

= \frac{9}{2} + \frac{25}{2}

簡素化

\frac{9}{2} + \frac{25}{2} : 17

= 17

グラフ

人気の例

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\int_{- 1}^{3} (3 x - 5) (x + 2) d x

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