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人気のある微分積分 >

integral from 0 to 2 of (x^2-1)

解

\int_{0}^{2} (x^{2} - 1) d x

解

\frac{2}{3}

+1

十進法表記

0.66666 \dots

解答ステップ

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

総和規則を適用する:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

\int_{0}^{2} x^{2} d x = \frac{8}{3}

\int_{0}^{2} 1 d x = 2

= \frac{8}{3} - 2

簡素化

\frac{8}{3} - 2 : \frac{2}{3}

= \frac{2}{3}

グラフ

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