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人気のある微分積分 >

integral from 1 to 2 of |2x-3|

解

\int_{1}^{2} ∣ 2 x - 3 ∣ d x

解

\frac{1}{2}

+1

十進法表記

0.5

解答ステップ

\int_{1}^{2} ∣ 2 x - 3 ∣ d x

絶対数を排除する

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

\int_{1}^{\frac{3}{2}} - 2 x + 3 d x = \frac{1}{4}

\int_{\frac{3}{2}}^{2} 2 x - 3 d x = \frac{1}{4}

= \frac{1}{4} + \frac{1}{4}

簡素化

\frac{1}{4} + \frac{1}{4} : \frac{1}{2}

= \frac{1}{2}

グラフ

人気の例

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