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人気のある微分積分 >

integral from e to e^4 of 1/(x(ln(x))^3)

解

\int_{e}^{e^{4}} \frac{1}{x ( ln ( x ) ) ^{3}} d x

解

\frac{15}{32}

+1

十進法表記

0.46875

解答ステップ

\int_{e}^{e^{4}} \frac{1}{x ( ln ( x ) ) ^{3}} d x

u置換積分法を適用する

= \int_{1}^{4} \frac{1}{u ^{3}} d u

べき乗則を適用する

= [- \frac{1}{2 u ^{2}}]_{1}^{4}

限度を計算する:

\frac{15}{32}

= \frac{15}{32}

グラフ

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