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Beliebt Rechnen >

integral of 3x^{-1/3}-1/(sqrt(x))

Lösung

\int 3 x^{- \frac{1}{3}} - \frac{1}{x} d x

Lösung

\frac{9}{2} x^{\frac{2}{3}} - 2 x + C

Schritte zur Lösung

\int 3 x^{- \frac{1}{3}} - \frac{1}{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 3 x^{- \frac{1}{3}} d x - \int \frac{1}{x} d x

\int 3 x^{- \frac{1}{3}} d x = \frac{9}{2} x^{\frac{2}{3}}

\int \frac{1}{x} d x = 2 x

= \frac{9}{2} x^{\frac{2}{3}} - 2 x

Füge eine Konstante zur Lösung hinzu

= \frac{9}{2} x^{\frac{2}{3}} - 2 x + C

Graph

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