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人気のある微分積分 >

integral from 0 to 4 of xln(4x)

解

\int_{0}^{4} x ln (4 x) d x

解

32 ln (2) - 4

+1

十進法表記

18.18070 \dots

解答ステップ

\int_{0}^{4} x ln (4 x) d x

部分積分を適用する

= [\frac{1}{2} x^{2} ln (4 x) - \int \frac{x}{2} d x]_{0}^{4}

\int \frac{x}{2} d x = \frac{x ^{2}}{4}

= [\frac{1}{2} x^{2} ln (4 x) - \frac{x ^{2}}{4}]_{0}^{4}

限度を計算する:

32 ln (2) - 4

= 32 ln (2) - 4

グラフ

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