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Beliebt Rechnen >

integral of 4x^3+9x^2y^2+3

Lösung

\int 4 x^{3} + 9 x^{2} y^{2} + 3 d x

Lösung

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

Schritte zur Lösung

\int 4 x^{3} + 9 x^{2} y^{2} + 3 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 3 d x + \int 4 x^{3} d x + \int 9 y^{2} x^{2} d x

\int 3 d x = 3 x

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

\int 9 y^{2} x^{2} d x = 3 y^{2} x^{3}

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

Füge eine Konstante zur Lösung hinzu

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

Graph

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