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人気のある微分積分 >

integral from 2 to 5 of 3/x

解

\int_{2}^{5} \frac{3}{x} d x

解

3 (ln (5) - ln (2))

+1

十進法表記

2.74887 \dots

解答ステップ

\int_{2}^{5} \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_{2}^{5} \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 ∣]_{2}^{5}

限度を計算する:

ln (5) - ln (2)

= 3 (ln (5) - ln (2))

グラフ

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