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人気のある微分積分 >

integral from 1 to 7 of 3/x

解

\int_{1}^{7} \frac{3}{x} d x

解

3 ln (7)

+1

十進法表記

5.83773 \dots

解答ステップ

\int_{1}^{7} \frac{3}{x} d x

定数を除く:

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

= 3 \cdot \int_{1}^{7} \frac{1}{x} d x

共通積分を使用する:

\int \frac{1}{x} d x = ln (∣ x ∣)

= 3 [ln ∣ x ∣]_{1}^{7}

限度を計算する:

ln (7)

= 3 ln (7)

グラフ

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