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人気のある微分積分 >

integral of 6x^2-4x+8

解

\int 6 x^{2} - 4 x + 8 d x

解

2 x^{3} - 2 x^{2} + 8 x + C

解答ステップ

\int 6 x^{2} - 4 x + 8 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 6 x^{2} d x - \int 4 x d x + \int 8 d x

\int 6 x^{2} d x = 2 x^{3}

\int 4 x d x = 2 x^{2}

\int 8 d x = 8 x

= 2 x^{3} - 2 x^{2} + 8 x

定数を解答に追加する

= 2 x^{3} - 2 x^{2} + 8 x + C

グラフ

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