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人気のある微分積分 >

integral from e to e^2 of 1/(xln^2(x))

解

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

解

\frac{1}{2}

+1

十進法表記

0.5

解答ステップ

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

u置換積分法を適用する

= \int_{1}^{2} \frac{1}{u ^{2}} d u

べき乗則を適用する

= [- \frac{1}{u}]_{1}^{2}

限度を計算する:

\frac{1}{2}

= \frac{1}{2}

グラフ

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