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人気のある微分積分 >

integral from 1 to 4 of-2x^2+10x-8

解

\int_{1}^{4} - 2 x^{2} + 10 x - 8 d x

解

9

解答ステップ

\int_{1}^{4} - 2 x^{2} + 10 x - 8 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} 2 x^{2} d x + \int_{1}^{4} 10 x d x - \int_{1}^{4} 8 d x

\int_{1}^{4} 2 x^{2} d x = 42

\int_{1}^{4} 10 x d x = 75

\int_{1}^{4} 8 d x = 24

= - 42 + 75 - 24

簡素化

= 9

グラフ

人気の例

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