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人気のある微分積分 >

integral from 2 to 3 of 1/(xln(x))

解

\int_{2}^{3} \frac{1}{x ln ( x )} d x

解

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

+1

十進法表記

0.46056 \dots

解答ステップ

\int_{2}^{3} \frac{1}{x ln ( x )} d x

u置換積分法を適用する

= \int_{l n (2)}^{l n (3)} \frac{1}{u} d u

共通積分を使用する:

\int \frac{1}{u} d u = ln (∣ u ∣)

= [ln ∣ u ∣]_{l n (2)}^{l n (3)}

限度を計算する:

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

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

グラフ

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