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人気のある微分積分 >

integral from 0 to 6 of |x-4|

解

\int_{0}^{6} ∣ x - 4 ∣ d x

解

10

解答ステップ

\int_{0}^{6} ∣ x - 4 ∣ d x

絶対数を排除する

= \int_{0}^{4} - x + 4 d x + \int_{4}^{6} x - 4 d x

\int_{0}^{4} - x + 4 d x = 8

\int_{4}^{6} x - 4 d x = 2

= 8 + 2

簡素化

= 10

グラフ

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