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人気のある微分積分 >

integral from 1 to 2 of (1/x-1/(x^2))

解

\int_{1}^{2} (\frac{1}{x} - \frac{1}{x ^{2}}) d x

解

ln (2) - \frac{1}{2}

+1

十進法表記

0.19314 \dots

解答ステップ

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

\int_{1}^{2} \frac{1}{x} d x = ln (2)

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

= ln (2) - \frac{1}{2}

グラフ

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