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Beliebt Rechnen >

integral of 8x^3sqrt(2x^4)+6

Lösung

\int 8 x^{3} 2 x^{4} + 6 d x

Lösung

\frac{4 2 x ^{6}}{3} + 6 x + C

Schritte zur Lösung

\int 8 x^{3} 2 x^{4} + 6 d x

8 x^{3} 2 x^{4} = 82 x^{5}

= \int 82 x^{5} + 6 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 82 x^{5} d x + \int 6 d x

\int 82 x^{5} d x = \frac{4 2 x ^{6}}{3}

\int 6 d x = 6 x

= \frac{4 2 x ^{6}}{3} + 6 x

Füge eine Konstante zur Lösung hinzu

= \frac{4 2 x ^{6}}{3} + 6 x + C

Graph

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