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人気のある微分積分 >

integral from-3 to 1 of 6x^2-5x+2

解

\int_{- 3}^{1} 6 x^{2} - 5 x + 2 d x

解

84

解答ステップ

\int_{- 3}^{1} 6 x^{2} - 5 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_{- 3}^{1} 6 x^{2} d x - \int_{- 3}^{1} 5 x d x + \int_{- 3}^{1} 2 d x

\int_{- 3}^{1} 6 x^{2} d x = 56

\int_{- 3}^{1} 5 x d x = - 20

\int_{- 3}^{1} 2 d x = 8

= 56 - (- 20) + 8

簡素化

= 84

グラフ

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