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人気のある微分積分 >

integral of 5x^4y^2+4x^3y^3

解

\int 5 x^{4} y^{2} + 4 x^{3} y^{3} d x

解

y^{3} x^{4} + y^{2} x^{5} + C

解答ステップ

\int 5 x^{4} y^{2} + 4 x^{3} y^{3} 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 4 y^{3} x^{3} d x + \int 5 y^{2} x^{4} d x

\int 4 y^{3} x^{3} d x = y^{3} x^{4}

\int 5 y^{2} x^{4} d x = y^{2} x^{5}

= y^{3} x^{4} + y^{2} x^{5}

定数を解答に追加する

= y^{3} x^{4} + y^{2} x^{5} + C

グラフ

人気の例

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