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Beliebt Rechnen >

integral of (12sqrt(x)+sqrt(2))

Lösung

\int (12 x + 2) d x

Lösung

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

Schritte zur Lösung

\int 12 x + 2 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 12 x d x + \int 2 d x

\int 12 x d x = 8 x^{\frac{3}{2}}

\int 2 d x = 2 x

= 8 x^{\frac{3}{2}} + 2 x

Füge eine Konstante zur Lösung hinzu

= 8 x^{\frac{3}{2}} + 2 x + C

Graph

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