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人気のある微分積分 >

integral of (2x+6)5

解

\int (2 x + 6) 5 d x

解

5 (x^{2} + 6 x) + C

解答ステップ

\int (2 x + 6) \cdot 5 d x

定数を除く:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 5 \cdot \int 2 x + 6 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

= 5 (\int 2 x d x + \int 6 d x)

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

\int 6 d x = 6 x

= 5 (x^{2} + 6 x)

定数を解答に追加する

= 5 (x^{2} + 6 x) + C

グラフ

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