integral of (\sqrt[6]{x^7})

Lösung

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

\frac{6}{13} x^{\frac{13}{6}} + C

Schritte zur Lösung

\int 6 x^{7} d x

6 x^{7} = x^{\frac{7}{6}},

angenommen

x \geq 0

= \int x^{\frac{7}{6}} d x

Wende die Potenzregel an

= \frac{6}{13} x^{\frac{13}{6}}

Füge eine Konstante zur Lösung hinzu

= \frac{6}{13} x^{\frac{13}{6}} + C

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