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人気のある微分積分 >

integral from 0 to 4 of 48-3x^2

解

\int_{0}^{4} 48 - 3 x^{2} d x

解

128

解答ステップ

\int_{0}^{4} 48 - 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}^{4} 48 d x - \int_{0}^{4} 3 x^{2} d x

\int_{0}^{4} 48 d x = 192

\int_{0}^{4} 3 x^{2} d x = 64

= 192 - 64

簡素化

= 128

グラフ

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