integral of \sqrt[6]{x^5sqrt(x^4)}

Lösung

\int 6 x^{5} x^{4} d x

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

Schritte zur Lösung

\int 6 x^{5} x^{4} d x

Vereinfache

6 x^{5} x^{4} : x^{\frac{7}{6}}

= \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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