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人気のある微分積分 >

integral from 2 to 4 of (10+4x-3x^3)

解

\int_{2}^{4} (10 + 4 x - 3 x^{3}) d x

解

- 136

解答ステップ

\int_{2}^{4} 10 + 4 x - 3 x^{3} 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}^{4} 10 d x + \int_{2}^{4} 4 x d x - \int_{2}^{4} 3 x^{3} d x

\int_{2}^{4} 10 d x = 20

\int_{2}^{4} 4 x d x = 24

\int_{2}^{4} 3 x^{3} d x = 180

= 20 + 24 - 180

簡素化

= - 136

グラフ

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