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Beliebt Rechnen >

integral of (6x^2+4x^{1/3})

Lösung

\int (6 x^{2} + 4 x^{\frac{1}{3}}) d x

Lösung

2 x^{3} + 3 x^{\frac{4}{3}} + C

Schritte zur Lösung

\int 6 x^{2} + 4 x^{\frac{1}{3}} d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 6 x^{2} d x + \int 4 x^{\frac{1}{3}} d x

\int 6 x^{2} d x = 2 x^{3}

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

= 2 x^{3} + 3 x^{\frac{4}{3}}

Füge eine Konstante zur Lösung hinzu

= 2 x^{3} + 3 x^{\frac{4}{3}} + C

Graph

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