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Beliebt Rechnen >

integral of 8x^3+12x+2

Lösung

\int 8 x^{3} + 12 x + 2 d x

Lösung

2 x^{4} + 6 x^{2} + 2 x + C

Schritte zur Lösung

\int 8 x^{3} + 12 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 8 x^{3} d x + \int 12 x d x + \int 2 d x

\int 8 x^{3} d x = 2 x^{4}

\int 12 x d x = 6 x^{2}

\int 2 d x = 2 x

= 2 x^{4} + 6 x^{2} + 2 x

Füge eine Konstante zur Lösung hinzu

= 2 x^{4} + 6 x^{2} + 2 x + C

Graph

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a re a f (x) = 4 x + 8, 0, 8

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