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人気のある微分積分 >

integral from 8 to 16 of (x+1/x)

解

\int_{8}^{16} (x + \frac{1}{x}) d x

解

96 + ln (2)

+1

十進法表記

96.69314 \dots

解答ステップ

\int_{8}^{16} x + \frac{1}{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_{8}^{16} x d x + \int_{8}^{16} \frac{1}{x} d x

\int_{8}^{16} x d x = 96

\int_{8}^{16} \frac{1}{x} d x = ln (2)

= 96 + ln (2)

グラフ

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