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Beliebt Rechnen >

integral of (\sqrt[3]{x^5})

Lösung

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

Lösung

\frac{3}{8} x^{\frac{8}{3}} + C

Schritte zur Lösung

\int 3 x^{5} d x

3 x^{5} = x^{\frac{5}{3}},

angenommen

x \geq 0

= \int x^{\frac{5}{3}} d x

Wende die Potenzregel an

= \frac{3}{8} x^{\frac{8}{3}}

Füge eine Konstante zur Lösung hinzu

= \frac{3}{8} x^{\frac{8}{3}} + C

Graph

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