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人気のある微分積分 >

integral from 1 to 4 of-6/(x^2)

解

\int_{1}^{4} - \frac{6}{x ^{2}} d x

解

- \frac{9}{2}

+1

十進法表記

- 4.5

解答ステップ

\int_{1}^{4} - \frac{6}{x ^{2}} d x

定数を除く:

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

= - 6 \cdot \int_{1}^{4} \frac{1}{x ^{2}} d x

べき乗則を適用する

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

限度を計算する:

\frac{3}{4}

= - 6 \cdot \frac{3}{4}

簡素化

= - \frac{9}{2}

グラフ

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