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人気のある微分積分 >

integral from 1 to 27 of \sqrt[3]{x}-1/x

解

\int_{1}^{27} 3 x - \frac{1}{x} d x

解

60 - 3 ln (3)

+1

十進法表記

56.70416 \dots

解答ステップ

\int_{1}^{27} 3 x - \frac{1}{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}^{27} 3 x d x - \int_{1}^{27} \frac{1}{x} d x

\int_{1}^{27} 3 x d x = 60

\int_{1}^{27} \frac{1}{x} d x = 3 ln (3)

= 60 - 3 ln (3)

グラフ

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