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人気のある微分積分 >

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

解

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

解

1

解答ステップ

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

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

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

= \frac{3}{2} - \frac{1}{2}

簡素化

\frac{3}{2} - \frac{1}{2} : 1

= 1

グラフ

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