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Beliebt Rechnen >

integral of 3x^2y^2-10xy^2

Lösung

\int 3 x^{2} y^{2} - 10 x y^{2} d x

Lösung

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

Schritte zur Lösung

\int 3 x^{2} y^{2} - 10 x y^{2} d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= - \int 10 y^{2} x d x + \int 3 y^{2} x^{2} d x

\int 10 y^{2} x d x = 5 y^{2} x^{2}

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

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