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Beliebt Rechnen >

integral of 12x^2-6x+2

Lösung

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

Lösung

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

Schritte zur Lösung

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

\int 12 x^{2} d x = 4 x^{3}

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

\int 2 d x = 2 x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

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