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人気のある微分積分 >

integral from 1 to 6 of |x-3|

解

\int_{1}^{6} ∣ x - 3 ∣ d x

解

\frac{13}{2}

+1

十進法表記

6.5

解答ステップ

\int_{1}^{6} ∣ x - 3 ∣ d x

絶対数を排除する

= \int_{1}^{3} - x + 3 d x + \int_{3}^{6} x - 3 d x

\int_{1}^{3} - x + 3 d x = 2

\int_{3}^{6} x - 3 d x = \frac{9}{2}

= 2 + \frac{9}{2}

簡素化

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

= \frac{13}{2}

グラフ

人気の例

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\int_{0}^{x} e^{- t^{6}} d t

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