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人気のある微分積分 >

integral from 1 to 3 of 7/x

解

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

解

7 ln (3)

+1

十進法表記

7.69028 \dots

解答ステップ

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

定数を除く:

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

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

共通積分を使用する:

\int \frac{1}{x} d x = ln (∣ x ∣)

= 7 [ln ∣ x ∣]_{1}^{3}

限度を計算する:

ln (3)

= 7 ln (3)

グラフ

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