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人気のある微分積分 >

integral from 0 to 3 of (3x^2-x^3)

解

\int_{0}^{3} (3 x^{2} - x^{3}) d x

解

\frac{27}{4}

+1

十進法表記

6.75

解答ステップ

\int_{0}^{3} 3 x^{2} - x^{3} 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}^{3} 3 x^{2} d x - \int_{0}^{3} x^{3} d x

\int_{0}^{3} 3 x^{2} d x = 27

\int_{0}^{3} x^{3} d x = \frac{81}{4}

= 27 - \frac{81}{4}

簡素化

27 - \frac{81}{4} : \frac{27}{4}

= \frac{27}{4}

グラフ

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