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人気のある微分積分 >

integral from 0 to 3 of |4-x^2|

解

\int_{0}^{3} 4 - x^{2} d x

解

\frac{23}{3}

+1

十進法表記

7.66666 \dots

解答ステップ

\int_{0}^{3} 4 - x^{2} d x

絶対数を排除する

= \int_{0}^{2} 4 - x^{2} d x + \int_{2}^{3} - 4 + x^{2} d x

\int_{0}^{2} 4 - x^{2} d x = \frac{16}{3}

\int_{2}^{3} - 4 + x^{2} d x = \frac{7}{3}

= \frac{16}{3} + \frac{7}{3}

簡素化

\frac{16}{3} + \frac{7}{3} : \frac{23}{3}

= \frac{23}{3}

グラフ

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