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人気のある微分積分 >

integral from 0 to 2 of x^4-8x

解

\int_{0}^{2} x^{4} - 8 x d x

解

- \frac{48}{5}

+1

十進法表記

- 9.6

解答ステップ

\int_{0}^{2} x^{4} - 8 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}^{2} x^{4} d x - \int_{0}^{2} 8 x d x

\int_{0}^{2} x^{4} d x = \frac{32}{5}

\int_{0}^{2} 8 x d x = 16

= \frac{32}{5} - 16

簡素化

\frac{32}{5} - 16 : - \frac{48}{5}

= - \frac{48}{5}

グラフ

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