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Beliebt Rechnen >

integral of 2sqrt(x)-3/(sqrt(x))

Lösung

\int 2 x - \frac{3}{x} d x

Lösung

\frac{4}{3} x^{\frac{3}{2}} - 6 x + C

Schritte zur Lösung

\int 2 x - \frac{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 2 x d x - \int \frac{3}{x} d x

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

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

= \frac{4}{3} x^{\frac{3}{2}} - 6 x

Füge eine Konstante zur Lösung hinzu

= \frac{4}{3} x^{\frac{3}{2}} - 6 x + C

Graph

Beliebte Beispiele

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