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Beliebt Rechnen >

integral of-x^2+10x

Lösung

\int - x^{2} + 10 x d x

Lösung

- \frac{x ^{3}}{3} + 5 x^{2} + C

Schritte zur Lösung

\int - x^{2} + 10 x 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 x^{2} d x + \int 10 x d x

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

\int 10 x d x = 5 x^{2}

= - \frac{x ^{3}}{3} + 5 x^{2}

Füge eine Konstante zur Lösung hinzu

= - \frac{x ^{3}}{3} + 5 x^{2} + C

Graph

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