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人気のある微分積分 >

integral from 2 to 5 of (x^2-2x-4)

解

\int_{2}^{5} (x^{2} - 2 x - 4) d x

解

6

解答ステップ

\int_{2}^{5} x^{2} - 2 x - 4 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}^{5} x^{2} d x - \int_{2}^{5} 2 x d x - \int_{2}^{5} 4 d x

\int_{2}^{5} x^{2} d x = 39

\int_{2}^{5} 2 x d x = 21

\int_{2}^{5} 4 d x = 12

= 39 - 21 - 12

簡素化

= 6

グラフ

人気の例

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