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人気のある微分積分 >

integral from a to b of 1/(r^2)

解

\int_{a}^{b} \frac{1}{r ^{2}} d r

解

- \frac{1}{b} + \frac{1}{a}

解答ステップ

\int_{a}^{b} \frac{1}{r ^{2}} d r

べき乗則を適用する

= [- \frac{1}{r}]_{a}^{b}

限度を計算する:

- \frac{1}{b} + \frac{1}{a}

= - \frac{1}{b} + \frac{1}{a}

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