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Beliebt Rechnen >

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

Lösung

\int (\frac{2}{x} - 3 x x + 2) d x

Lösung

4 x - \frac{6}{5} x^{\frac{5}{2}} + 2 x + C

Schritte zur Lösung

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

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

\int 3 x x d x = \frac{6}{5} x^{\frac{5}{2}}

\int 2 d x = 2 x

= 4 x - \frac{6}{5} x^{\frac{5}{2}} + 2 x

Füge eine Konstante zur Lösung hinzu

= 4 x - \frac{6}{5} x^{\frac{5}{2}} + 2 x + C

Graph

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