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Beliebt Rechnen >

integral of (6x^2-8x+2)

Lösung

\int (6 x^{2} - 8 x + 2) d x

Lösung

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

Schritte zur Lösung

\int 6 x^{2} - 8 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 6 x^{2} d x - \int 8 x d x + \int 2 d x

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

\int 8 x d x = 4 x^{2}

\int 2 d x = 2 x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

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