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人気のある微分積分 >

integral from 2 to 4 of 2x-8/x

解

\int_{2}^{4} 2 x - \frac{8}{x} d x

解

12 - 8 ln (2)

+1

十進法表記

6.45482 \dots

解答ステップ

\int_{2}^{4} 2 x - \frac{8}{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_{2}^{4} 2 x d x - \int_{2}^{4} \frac{8}{x} d x

\int_{2}^{4} 2 x d x = 12

\int_{2}^{4} \frac{8}{x} d x = 8 ln (2)

= 12 - 8 ln (2)

グラフ

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