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人気のある微分積分 >

integral from 0 to 2 of 12-3x^2

解

\int_{0}^{2} 12 - 3 x^{2} d x

解

16

解答ステップ

\int_{0}^{2} 12 - 3 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_{0}^{2} 12 d x - \int_{0}^{2} 3 x^{2} d x

\int_{0}^{2} 12 d x = 24

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

= 24 - 8

簡素化

= 16

グラフ

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