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人気のある微分積分 >

integral from 1 to 2 of (e^{1/2})/(x^2)

解

\int_{1}^{2} \frac{e ^{\frac{1}{2}}}{x ^{2}} d x

解

\frac{e ^{\frac{1}{2}}}{2}

+1

十進法表記

0.82436 \dots

解答ステップ

\int_{1}^{2} \frac{e ^{\frac{1}{2}}}{x ^{2}} d x

定数を除く:

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

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

べき乗則を適用する

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

限度を計算する:

\frac{1}{2}

= e^{\frac{1}{2}} \frac{1}{2}

簡素化

= \frac{e ^{\frac{1}{2}}}{2}

グラフ

人気の例

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