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Beliebt Rechnen >

integral of x^2\sqrt[3]{x}

Lösung

\int x^{2} 3 x d x

Lösung

\frac{1}{3} x^{3} 3 x - \frac{1}{30} x^{\frac{10}{3}} + C

Schritte zur Lösung

\int x^{2} 3 x d x

Wende die partielle Integration an

= \frac{1}{3} x^{3} 3 x - \int \frac{1}{9} x^{\frac{7}{3}} d x

\int \frac{1}{9} x^{\frac{7}{3}} d x = \frac{1}{30} x^{\frac{10}{3}}

= \frac{1}{3} x^{3} 3 x - \frac{1}{30} x^{\frac{10}{3}}

Füge eine Konstante zur Lösung hinzu

= \frac{1}{3} x^{3} 3 x - \frac{1}{30} x^{\frac{10}{3}} + C

Graph

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