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人気のある微分積分 >

integral from 100 to 150 of-6x^2+20x

解

\int_{100}^{150} - 6 x^{2} + 20 x d x

解

- 4625000

解答ステップ

\int_{100}^{150} - 6 x^{2} + 20 x 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_{100}^{150} 6 x^{2} d x + \int_{100}^{150} 20 x d x

\int_{100}^{150} 6 x^{2} d x = 4750000

\int_{100}^{150} 20 x d x = 125000

= - 4750000 + 125000

簡素化

= - 4625000

グラフ

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