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人気のある微分積分 >

integral from 0 to 2 of x+6-x^3

解

\int_{0}^{2} x + 6 - x^{3} d x

解

10

解答ステップ

\int_{0}^{2} x + 6 - 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} x d x + \int_{0}^{2} 6 d x - \int_{0}^{2} x^{3} d x

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

\int_{0}^{2} 6 d x = 12

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

= 2 + 12 - 4

簡素化

= 10

グラフ

人気の例

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\int_{0}^{\frac{π}{4}} cos (2 x) d x

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\int_{1}^{10} t d t

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