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人気のある微分積分 >

integral of (3xz^2+2)

解

\int (3 x z^{2} + 2) d z

解

2 z + x z^{3} + C

解答ステップ

\int 3 x z^{2} + 2 d z

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 2 d z + \int 3 x z^{2} d z

\int 2 d z = 2 z

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

= 2 z + x z^{3}

定数を解答に追加する

= 2 z + x z^{3} + C

グラフ

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