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Beliebt Rechnen >

integral of (3/(sqrt(x))+3sqrt(x))

Lösung

\int (\frac{3}{x} + 3 x) d x

Lösung

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

Schritte zur Lösung

\int \frac{3}{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 \frac{3}{x} d x + \int 3 x d x

\int \frac{3}{x} d x = 6 x

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

= 6 x + 2 x^{\frac{3}{2}}

Füge eine Konstante zur Lösung hinzu

= 6 x + 2 x^{\frac{3}{2}} + C

Graph

Beliebte Beispiele

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