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Beliebt Rechnen >

integral of (4x^3+6x^2+3)

Lösung

\int (4 x^{3} + 6 x^{2} + 3) d x

Lösung

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

Schritte zur Lösung

\int 4 x^{3} + 6 x^{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 4 x^{3} d x + \int 6 x^{2} d x + \int 3 d x

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

\int 6 x^{2} d x = 2 x^{3}

\int 3 d x = 3 x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

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