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人気のある微分積分 >

integral from 0 to 1 of x^{1/3}-x^3

解

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

解

\frac{1}{2}

+1

十進法表記

0.5

解答ステップ

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

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

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

= \frac{3}{4} - \frac{1}{4}

簡素化

\frac{3}{4} - \frac{1}{4} : \frac{1}{2}

= \frac{1}{2}

グラフ

人気の例

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