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人気のある微分積分 >

integral from 0 to 1 of (sqrt(x)-x)

解

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

解

\frac{1}{6}

+1

十進法表記

0.16666 \dots

解答ステップ

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

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

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

= \frac{2}{3} - \frac{1}{2}

簡素化

\frac{2}{3} - \frac{1}{2} : \frac{1}{6}

= \frac{1}{6}

グラフ

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