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Beliebt Rechnen >

integral of 12+x-x^2

Lösung

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

Lösung

12 x + \frac{x ^{2}}{2} - \frac{x ^{3}}{3} + C

Schritte zur Lösung

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

\int 12 d x = 12 x

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

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

= 12 x + \frac{x ^{2}}{2} - \frac{x ^{3}}{3}

Füge eine Konstante zur Lösung hinzu

= 12 x + \frac{x ^{2}}{2} - \frac{x ^{3}}{3} + C

Graph

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