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人気のある微分積分 >

integral from 7 to 11 of 2/(x^3)

解

\int_{7}^{11} \frac{2}{x ^{3}} d x

解

\frac{72}{5929}

+1

十進法表記

0.01214 \dots

解答ステップ

\int_{7}^{11} \frac{2}{x ^{3}} d x

定数を除く:

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

= 2 \cdot \int_{7}^{11} \frac{1}{x ^{3}} d x

べき乗則を適用する

= 2 [- \frac{1}{2 x ^{2}}]_{7}^{11}

限度を計算する:

\frac{36}{5929}

= 2 \cdot \frac{36}{5929}

簡素化

= \frac{72}{5929}

グラフ

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