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Beliebt Rechnen >

integral of x(3x+5)^{11}

Lösung

\int x (3 x + 5)^{11} d x

Lösung

\frac{1}{36} x (3 x + 5)^{12} - \frac{1}{1404} (3 x + 5)^{13} + C

Schritte zur Lösung

\int x (3 x + 5)^{11} d x

Wende die partielle Integration an

= \frac{1}{36} x (3 x + 5)^{12} - \int \frac{1}{36} (3 x + 5)^{12} d x

\int \frac{1}{36} (3 x + 5)^{12} d x = \frac{1}{1404} (3 x + 5)^{13}

= \frac{1}{36} x (3 x + 5)^{12} - \frac{1}{1404} (3 x + 5)^{13}

Füge eine Konstante zur Lösung hinzu

= \frac{1}{36} x (3 x + 5)^{12} - \frac{1}{1404} (3 x + 5)^{13} + C

Graph

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