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人気のある微分積分 >

integral from 10 to y of (10)/(x^2)

解

\int_{10}^{y} \frac{10}{x ^{2}} d x

解

- \frac{10}{y} + 1

解答ステップ

\int_{10}^{y} \frac{10}{x ^{2}} d x

定数を除く:

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

= 10 \cdot \int_{10}^{y} \frac{1}{x ^{2}} d x

べき乗則を適用する

= 10 [- \frac{1}{x}]_{10}^{y}

限度を計算する:

- \frac{1}{y} + \frac{1}{10}

= 10 (- \frac{1}{y} + \frac{1}{10})

簡素化

= - \frac{10}{y} + 1

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