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人気のある微分積分 >

integral from 1 to 13 of 6x^2+3x-2

解

\int_{1}^{13} 6 x^{2} + 3 x - 2 d x

解

4620

解答ステップ

\int_{1}^{13} 6 x^{2} + 3 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}^{13} 6 x^{2} d x + \int_{1}^{13} 3 x d x - \int_{1}^{13} 2 d x

\int_{1}^{13} 6 x^{2} d x = 4392

\int_{1}^{13} 3 x d x = 252

\int_{1}^{13} 2 d x = 24

= 4392 + 252 - 24

簡素化

= 4620

グラフ

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