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人気のある微分積分 >

integral from 1 to 2 of (3x^2+4x-2)

解

\int_{1}^{2} (3 x^{2} + 4 x - 2) d x

解

11

解答ステップ

\int_{1}^{2} 3 x^{2} + 4 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_{1}^{2} 3 x^{2} d x + \int_{1}^{2} 4 x d x - \int_{1}^{2} 2 d x

\int_{1}^{2} 3 x^{2} d x = 7

\int_{1}^{2} 4 x d x = 6

\int_{1}^{2} 2 d x = 2

= 7 + 6 - 2

簡素化

= 11

グラフ

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