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人気のある微分積分 >

integral from 4 to 6 of 6/(x^4)

解

\int_{4}^{6} \frac{6}{x ^{4}} d x

解

\frac{19}{864}

+1

十進法表記

0.02199 \dots

解答ステップ

\int_{4}^{6} \frac{6}{x ^{4}} d x

定数を除く:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 6 \cdot \int_{4}^{6} \frac{1}{x ^{4}} d x

べき乗則を適用する

= 6 [- \frac{1}{3 x ^{3}}]_{4}^{6}

限度を計算する:

\frac{19}{5184}

= 6 \cdot \frac{19}{5184}

簡素化

= \frac{19}{864}

グラフ

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