integral of \sqrt[3]{6x}

Lösung

\int 3 6 x d x

36 x 3 x - \frac{3}{2 3 9 \cdot 2 ^{\frac{2}{3}}} x^{\frac{4}{3}} + C

Schritte zur Lösung

\int 3 6 x d x

Wende die partielle Integration an

= 36 x 3 x - \int \frac{2 ^{\frac{1}{3}}}{3 ^{\frac{2}{3}}} x^{\frac{1}{3}} d x

\int \frac{2 ^{\frac{1}{3}}}{3 ^{\frac{2}{3}}} x^{\frac{1}{3}} d x = \frac{3}{2 3 9 \cdot 2 ^{\frac{2}{3}}} x^{\frac{4}{3}}

= 36 x 3 x - \frac{3}{2 3 9 \cdot 2 ^{\frac{2}{3}}} x^{\frac{4}{3}}

Füge eine Konstante zur Lösung hinzu

= 36 x 3 x - \frac{3}{2 3 9 \cdot 2 ^{\frac{2}{3}}} x^{\frac{4}{3}} + C

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