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Beliebt Rechnen >

integral of 4+5x^{2/3}

Lösung

\int 4 + 5 x^{\frac{2}{3}} d x

Lösung

4 x + 3 x^{\frac{5}{3}} + C

Schritte zur Lösung

\int 4 + 5 x^{\frac{2}{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 4 d x + \int 5 x^{\frac{2}{3}} d x

\int 4 d x = 4 x

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

= 4 x + 3 x^{\frac{5}{3}}

Füge eine Konstante zur Lösung hinzu

= 4 x + 3 x^{\frac{5}{3}} + C

Graph

Beliebte Beispiele

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\int cos^{5} (5 x) sin (5 x) d x