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人気のある微分積分 >

integral from 0 to 6 of-6x^2-18x+324

解

\int_{0}^{6} - 6 x^{2} - 18 x + 324 d x

解

1188

解答ステップ

\int_{0}^{6} - 6 x^{2} - 18 x + 324 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} 6 x^{2} d x - \int_{0}^{6} 18 x d x + \int_{0}^{6} 324 d x

\int_{0}^{6} 6 x^{2} d x = 432

\int_{0}^{6} 18 x d x = 324

\int_{0}^{6} 324 d x = 1944

= - 432 - 324 + 1944

簡素化

= 1188

グラフ

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