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人気のある微分積分 >

integral from 0 to 2 of 6x^2+1

解

\int_{0}^{2} 6 x^{2} + 1 d x

解

18

解答ステップ

\int_{0}^{2} 6 x^{2} + 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}^{2} 6 x^{2} d x + \int_{0}^{2} 1 d x

\int_{0}^{2} 6 x^{2} d x = 16

\int_{0}^{2} 1 d x = 2

= 16 + 2

簡素化

= 18

グラフ

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