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人気のある微分積分 >

integral from 1/3 to 3 of (6-6/(x^2))

解

\int_{\frac{1}{3}}^{3} (6 - \frac{6}{x ^{2}}) d x

解

0

解答ステップ

\int_{\frac{1}{3}}^{3} 6 - \frac{6}{x ^{2}} 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_{\frac{1}{3}}^{3} 6 d x - \int_{\frac{1}{3}}^{3} \frac{6}{x ^{2}} d x

\int_{\frac{1}{3}}^{3} 6 d x = 16

\int_{\frac{1}{3}}^{3} \frac{6}{x ^{2}} d x = 16

= 16 - 16

簡素化

= 0

グラフ

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