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人気のある微分積分 >

integral from 1/2 to 1 of x^3[ 1/x ]

解

\int_{\frac{1}{2}}^{1} x^{3} [\frac{1}{x}] d x

解

\frac{7}{24}

+1

十進法表記

0.29166 \dots

解答ステップ

\int_{\frac{1}{2}}^{1} x^{3} [\frac{1}{x}] d x

簡素化

x^{3} [\frac{1}{x}] : x^{2}

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

べき乗則を適用する

= [\frac{x ^{3}}{3}]_{\frac{1}{2}}^{1}

限度を計算する:

\frac{7}{24}

= \frac{7}{24}

グラフ

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