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人気のある微分積分 >

integral from 2 to 6 of 4/x

解

\int_{2}^{6} \frac{4}{x} d x

解

4 ln (3)

+1

十進法表記

4.39444 \dots

解答ステップ

\int_{2}^{6} \frac{4}{x} d x

定数を除く:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 4 \cdot \int_{2}^{6} \frac{1}{x} d x

共通積分を使用する:

\int \frac{1}{x} d x = ln (∣ x ∣)

= 4 [ln ∣ x ∣]_{2}^{6}

限度を計算する:

ln (6) - ln (2)

= 4 (ln (6) - ln (2))

簡素化

= 4 ln (3)

グラフ

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