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人気のある微分積分 >

integral from 2 to 1 of 1/x

解

\int_{2}^{1} \frac{1}{x} d x

解

- ln (2)

+1

十進法表記

- 0.69314 \dots

解答ステップ

\int_{2}^{1} \frac{1}{x} d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{1}^{2} \frac{1}{x} d x

共通積分を使用する:

\int \frac{1}{x} d x = ln (∣ x ∣)

= - [ln ∣ x ∣]_{1}^{2}

限度を計算する:

ln (2)

= - ln (2)

グラフ

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