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人気のある微分積分 >

integral from 0 to 6 of 2x^2-16x+30

解

\int_{0}^{6} 2 x^{2} - 16 x + 30 d x

解

36

解答ステップ

\int_{0}^{6} 2 x^{2} - 16 x + 30 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}^{6} 2 x^{2} d x - \int_{0}^{6} 16 x d x + \int_{0}^{6} 30 d x

\int_{0}^{6} 2 x^{2} d x = 144

\int_{0}^{6} 16 x d x = 288

\int_{0}^{6} 30 d x = 180

= 144 - 288 + 180

簡素化

= 36

グラフ

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