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Beliebt Rechnen >

integral of 300+20x-12x^2

Lösung

\int 300 + 20 x - 12 x^{2} d x

Lösung

300 x + 10 x^{2} - 4 x^{3} + C

Schritte zur Lösung

\int 300 + 20 x - 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 300 d x + \int 20 x d x - \int 12 x^{2} d x

\int 300 d x = 300 x

\int 20 x d x = 10 x^{2}

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

= 300 x + 10 x^{2} - 4 x^{3}

Füge eine Konstante zur Lösung hinzu

= 300 x + 10 x^{2} - 4 x^{3} + C

Graph

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