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Beliebt Rechnen >

integral of 8x-x^4

Lösung

\int 8 x - x^{4} d x

Lösung

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

Schritte zur Lösung

\int 8 x - x^{4} 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 d x - \int x^{4} d x

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

\int x^{4} d x = \frac{x ^{5}}{5}

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

Füge eine Konstante zur Lösung hinzu

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

Graph

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