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Beliebt Rechnen >

integral of 8sqrt(36-4x)-32

Lösung

\int 8 36 - 4 x - 32 d x

Lösung

- \frac{32}{3} (9 - x)^{\frac{3}{2}} - 32 x + C

Schritte zur Lösung

\int 8 36 - 4 x - 32 d x

8 36 - 4 x = 16 9 - x

= \int 16 9 - x - 32 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 16 9 - x d x - \int 32 d x

\int 16 9 - x d x = - \frac{32}{3} (9 - x)^{\frac{3}{2}}

\int 32 d x = 32 x

= - \frac{32}{3} (9 - x)^{\frac{3}{2}} - 32 x

Füge eine Konstante zur Lösung hinzu

= - \frac{32}{3} (9 - x)^{\frac{3}{2}} - 32 x + C

Graph

Beliebte Beispiele

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