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Beliebt Rechnen >

integral of (4x+\sqrt[3]{x})

Lösung

\int (4 x + 3 x) d x

Lösung

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

Schritte zur Lösung

\int 4 x + 3 x 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 4 x d x + \int 3 x d x

\int 4 x d x = 2 x^{2}

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

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