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人気のある微分積分 >

integral from 1/10 to 11/10 of 1/x

解

\int_{\frac{1}{10}}^{\frac{11}{10}} \frac{1}{x} d x

解

ln (11)

+1

十進法表記

2.39789 \dots

解答ステップ

\int_{\frac{1}{10}}^{\frac{11}{10}} \frac{1}{x} d x

共通積分を使用する:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{\frac{1}{10}}^{\frac{11}{10}}

限度を計算する:

ln (\frac{11}{10}) + ln (10)

= ln (\frac{11}{10}) + ln (10)

簡素化

= ln (11)

グラフ

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