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人気のある微分積分 >

integral from 0 to 2 of (3x^2-5x+4)

解

\int_{0}^{2} (3 x^{2} - 5 x + 4) d x

解

6

解答ステップ

\int_{0}^{2} 3 x^{2} - 5 x + 4 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}^{2} 3 x^{2} d x - \int_{0}^{2} 5 x d x + \int_{0}^{2} 4 d x

\int_{0}^{2} 3 x^{2} d x = 8

\int_{0}^{2} 5 x d x = 10

\int_{0}^{2} 4 d x = 8

= 8 - 10 + 8

簡素化

= 6

グラフ

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