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人気のある微分積分 >

integral from 1 to 4 of (3/(x^2)-1)

解

\int_{1}^{4} (\frac{3}{x ^{2}} - 1) d x

解

- \frac{3}{4}

+1

十進法表記

- 0.75

解答ステップ

\int_{1}^{4} \frac{3}{x ^{2}} - 1 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{3}{x ^{2}} d x - \int_{1}^{4} 1 d x

\int_{1}^{4} \frac{3}{x ^{2}} d x = \frac{9}{4}

\int_{1}^{4} 1 d x = 3

= \frac{9}{4} - 3

簡素化

\frac{9}{4} - 3 : - \frac{3}{4}

= - \frac{3}{4}

グラフ

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