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人気のある微分積分 >

integral from a to b of 1/(sqrt(x))

解

\int_{a}^{b} \frac{1}{x} d x

解

2 b - 2 a

解答ステップ

\int_{a}^{b} \frac{1}{x} d x

べき乗則を適用する

= [2 x^{\frac{1}{2}}]_{a}^{b}

累乗根の規則を適用する:

a^{\frac{1}{n}} = n a

= [2 x]_{a}^{b}

限度を計算する:

2 b - 2 a

= 2 b - 2 a

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