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Beliebt Rechnen >

integral of x^6(x^7+5)

Lösung

\int x^{6} (x^{7} + 5) d x

Lösung

\frac{1}{7} x^{7} (x^{7} + 5) - \frac{x ^{14}}{14} + C

Schritte zur Lösung

\int x^{6} (x^{7} + 5) d x

Wende die partielle Integration an

= \frac{1}{7} x^{7} (x^{7} + 5) - \int x^{13} d x

\int x^{13} d x = \frac{x ^{14}}{14}

= \frac{1}{7} x^{7} (x^{7} + 5) - \frac{x ^{14}}{14}

Füge eine Konstante zur Lösung hinzu

= \frac{1}{7} x^{7} (x^{7} + 5) - \frac{x ^{14}}{14} + C

Graph

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