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人気のある微分積分 >

integral from 0 to 3 of (3x^2-4x+1)

解

\int_{0}^{3} (3 x^{2} - 4 x + 1) d x

解

12

解答ステップ

\int_{0}^{3} 3 x^{2} - 4 x + 1 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_{0}^{3} 3 x^{2} d x - \int_{0}^{3} 4 x d x + \int_{0}^{3} 1 d x

\int_{0}^{3} 3 x^{2} d x = 27

\int_{0}^{3} 4 x d x = 18

\int_{0}^{3} 1 d x = 3

= 27 - 18 + 3

簡素化

= 12

グラフ

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