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人気のある微分積分 >

integral from 0 to 1 of x^3-4x

解

\int_{0}^{1} x^{3} - 4 x d x

解

- \frac{7}{4}

+1

十進法表記

- 1.75

解答ステップ

\int_{0}^{1} x^{3} - 4 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^{3} d x - \int_{0}^{1} 4 x d x

\int_{0}^{1} x^{3} d x = \frac{1}{4}

\int_{0}^{1} 4 x d x = 2

= \frac{1}{4} - 2

簡素化

\frac{1}{4} - 2 : - \frac{7}{4}

= - \frac{7}{4}

グラフ

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