integral of (5x^4-2x^5)

Lösung

\int (5 x^{4} - 2 x^{5}) d x

x^{5} - \frac{x ^{6}}{3} + C

Schritte zur Lösung

\int 5 x^{4} - 2 x^{5} 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 5 x^{4} d x - \int 2 x^{5} d x

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

\int 2 x^{5} d x = \frac{x ^{6}}{3}

= x^{5} - \frac{x ^{6}}{3}

Füge eine Konstante zur Lösung hinzu

= x^{5} - \frac{x ^{6}}{3} + C

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