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人気のある微分積分 >

integral of (cos(2y)-3x^2y^2)

解

\int (cos (2 y) - 3 x^{2} y^{2}) d x

解

cos (2 y) x - y^{2} x^{3} + C

解答ステップ

\int cos (2 y) - 3 x^{2} y^{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 cos (2 y) d x - \int 3 y^{2} x^{2} d x

\int cos (2 y) d x = cos (2 y) x

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

= cos (2 y) x - y^{2} x^{3}

定数を解答に追加する

= cos (2 y) x - y^{2} x^{3} + C

グラフ

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