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人気のある微分積分 >

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

解

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

解

\frac{15}{4} - 4 ln (2)

+1

十進法表記

0.97741 \dots

解答ステップ

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

総和規則を適用する:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

\int_{1}^{4} \frac{x}{2} d x = \frac{15}{4}

\int_{1}^{4} \frac{2}{x} d x = 4 ln (2)

= \frac{15}{4} - 4 ln (2)

グラフ

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