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人気のある微分積分 >

integral from 0 to 4 of-6x^2-24x+192

解

\int_{0}^{4} - 6 x^{2} - 24 x + 192 d x

解

448

解答ステップ

\int_{0}^{4} - 6 x^{2} - 24 x + 192 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}^{4} 6 x^{2} d x - \int_{0}^{4} 24 x d x + \int_{0}^{4} 192 d x

\int_{0}^{4} 6 x^{2} d x = 128

\int_{0}^{4} 24 x d x = 192

\int_{0}^{4} 192 d x = 768

= - 128 - 192 + 768

簡素化

= 448

グラフ

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