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人気のある微分積分 >

integral from 0 to 4 of (4x-x^2)

解

\int_{0}^{4} (4 x - x^{2}) d x

解

\frac{32}{3}

+1

十進法表記

10.66666 \dots

解答ステップ

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

\int_{0}^{4} 4 x d x = 32

\int_{0}^{4} x^{2} d x = \frac{64}{3}

= 32 - \frac{64}{3}

簡素化

32 - \frac{64}{3} : \frac{32}{3}

= \frac{32}{3}

グラフ

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