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人気のある微分積分 >

integral from 2 to 18 of (4x^3-2x+2)

解

\int_{2}^{18} (4 x^{3} - 2 x + 2) d x

解

104672

解答ステップ

\int_{2}^{18} 4 x^{3} - 2 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_{2}^{18} 4 x^{3} d x - \int_{2}^{18} 2 x d x + \int_{2}^{18} 2 d x

\int_{2}^{18} 4 x^{3} d x = 104960

\int_{2}^{18} 2 x d x = 320

\int_{2}^{18} 2 d x = 32

= 104960 - 320 + 32

簡素化

= 104672

グラフ

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