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Beliebt Rechnen >

integral of 12x^3-6x^2+4x

Lösung

\int 12 x^{3} - 6 x^{2} + 4 x d x

Lösung

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

Schritte zur Lösung

\int 12 x^{3} - 6 x^{2} + 4 x 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 12 x^{3} d x - \int 6 x^{2} d x + \int 4 x d x

\int 12 x^{3} d x = 3 x^{4}

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

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

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