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人気のある微分積分 >

integral from 0 to 3 of |x^2-1|

解

\int_{0}^{3} x^{2} - 1 d x

解

\frac{22}{3}

+1

十進法表記

7.33333 \dots

解答ステップ

\int_{0}^{3} x^{2} - 1 d x

絶対数を排除する

= \int_{0}^{1} - x^{2} + 1 d x + \int_{1}^{3} x^{2} - 1 d x

\int_{0}^{1} - x^{2} + 1 d x = \frac{2}{3}

\int_{1}^{3} x^{2} - 1 d x = \frac{20}{3}

= \frac{2}{3} + \frac{20}{3}

簡素化

\frac{2}{3} + \frac{20}{3} : \frac{22}{3}

= \frac{22}{3}

グラフ

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