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Beliebt Rechnen >

integral of (2sqrt(x)-9)

Lösung

\int (2 x - 9) d x

Lösung

\frac{4}{3} x^{\frac{3}{2}} - 9 x + C

Schritte zur Lösung

\int 2 x - 9 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 9 d x

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

\int 9 d x = 9 x

= \frac{4}{3} x^{\frac{3}{2}} - 9 x

Füge eine Konstante zur Lösung hinzu

= \frac{4}{3} x^{\frac{3}{2}} - 9 x + C

Graph

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