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人気のある微分積分 >

integral of 100-2x

解

\int 100 - 2 x d x

解

100 x - x^{2} + C

解答ステップ

\int 100 - 2 x 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 100 d x - \int 2 x d x

\int 100 d x = 100 x

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

= 100 x - x^{2}

定数を解答に追加する

= 100 x - x^{2} + C

グラフ

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