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Beliebt Rechnen >

integral of sqrt(3x^3)

Lösung

\int 3 x^{3} d x

Lösung

3 x^{2} x - \frac{3 3}{5} x^{\frac{5}{2}} + C

Schritte zur Lösung

\int 3 x^{3} d x

Wende die partielle Integration an

= 3 x x x^{2} - \int \frac{3 3 x ^{\frac{5}{2}}}{2 x ^{2}} d x

\int \frac{3 3 x ^{\frac{5}{2}}}{2 x ^{2}} d x = \frac{3 3}{5} x^{\frac{5}{2}}

= 3 x x x^{2} - \frac{3 3}{5} x^{\frac{5}{2}}

3 x x x^{2} = 3 x^{2} x

= 3 x^{2} x - \frac{3 3}{5} x^{\frac{5}{2}}

Füge eine Konstante zur Lösung hinzu

= 3 x^{2} x - \frac{3 3}{5} x^{\frac{5}{2}} + C

Graph

Beliebte Beispiele

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