integral of 8-x^3

Lösung

\int 8 - x^{3} d x

8 x - \frac{x ^{4}}{4} + C

Schritte zur Lösung

\int 8 - 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 8 d x - \int x^{3} d x

\int 8 d x = 8 x

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

= 8 x - \frac{x ^{4}}{4}

Füge eine Konstante zur Lösung hinzu

= 8 x - \frac{x ^{4}}{4} + C

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