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Beliebt Rechnen >

integral of \sqrt[3]{2x}

Lösung

\int 3 2 x d x

Lösung

32 x 3 x - \frac{1}{2 \cdot 2 ^{\frac{2}{3}}} x^{\frac{4}{3}} + C

Schritte zur Lösung

\int 3 2 x d x

Wende die partielle Integration an

= 32 x 3 x - \int \frac{2 ^{\frac{1}{3}}}{3} x^{\frac{1}{3}} d x

\int \frac{2 ^{\frac{1}{3}}}{3} x^{\frac{1}{3}} d x = \frac{1}{2 \cdot 2 ^{\frac{2}{3}}} x^{\frac{4}{3}}

= 32 x 3 x - \frac{1}{2 \cdot 2 ^{\frac{2}{3}}} x^{\frac{4}{3}}

Füge eine Konstante zur Lösung hinzu

= 32 x 3 x - \frac{1}{2 \cdot 2 ^{\frac{2}{3}}} x^{\frac{4}{3}} + C

Graph

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