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人気のある微分積分 >

integral from 1 to 2 of x^3-x

解

\int_{1}^{2} x^{3} - x d x

解

\frac{9}{4}

+1

十進法表記

2.25

解答ステップ

\int_{1}^{2} x^{3} - 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_{1}^{2} x^{3} d x - \int_{1}^{2} x d x

\int_{1}^{2} x^{3} d x = \frac{15}{4}

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

= \frac{15}{4} - \frac{3}{2}

簡素化

\frac{15}{4} - \frac{3}{2} : \frac{9}{4}

= \frac{9}{4}

グラフ

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