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人気のある微分積分 >

integral from-2 to 4 of 6+4x-x^2

解

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

解

36

解答ステップ

\int_{- 2}^{4} 6 + 4 x - 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_{- 2}^{4} 6 d x + \int_{- 2}^{4} 4 x d x - \int_{- 2}^{4} x^{2} d x

\int_{- 2}^{4} 6 d x = 36

\int_{- 2}^{4} 4 x d x = 24

\int_{- 2}^{4} x^{2} d x = 24

= 36 + 24 - 24

簡素化

= 36

グラフ

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