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人気のある微分積分 >

integral from 0 to 2 of (3-x^3)

解

\int_{0}^{2} (3 - x^{3}) d x

解

2

解答ステップ

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

\int_{0}^{2} 3 d x = 6

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

= 6 - 4

簡素化

= 2

グラフ

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