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Beliebt Rechnen >

integral of (x^3-10x-3)

Lösung

\int (x^{3} - 10 x - 3) d x

Lösung

\frac{x ^{4}}{4} - 5 x^{2} - 3 x + C

Schritte zur Lösung

\int x^{3} - 10 x - 3 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^{3} d x - \int 10 x d x - \int 3 d x

\int x^{3} d x = \frac{x ^{4}}{4}

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

\int 3 d x = 3 x

= \frac{x ^{4}}{4} - 5 x^{2} - 3 x

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{4}}{4} - 5 x^{2} - 3 x + C

Graph

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