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Beliebt Rechnen >

integral of x(3x+8)^5

Lösung

\int x (3 x + 8)^{5} d x

Lösung

\frac{1}{18} x (3 x + 8)^{6} - \frac{1}{378} (3 x + 8)^{7} + C

Schritte zur Lösung

\int x (3 x + 8)^{5} d x

Wende die partielle Integration an

= \frac{1}{18} x (3 x + 8)^{6} - \int \frac{1}{18} (3 x + 8)^{6} d x

\int \frac{1}{18} (3 x + 8)^{6} d x = \frac{1}{378} (3 x + 8)^{7}

= \frac{1}{18} x (3 x + 8)^{6} - \frac{1}{378} (3 x + 8)^{7}

Füge eine Konstante zur Lösung hinzu

= \frac{1}{18} x (3 x + 8)^{6} - \frac{1}{378} (3 x + 8)^{7} + C

Graph

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