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Beliebt Rechnen >

integral of (2x-4)(x+2)

Lösung

\int (2 x - 4) (x + 2) d x

Lösung

\frac{2 x ^{3}}{3} - 8 x + C

Schritte zur Lösung

\int (2 x - 4) (x + 2) d x

Multipliziere aus

(2 x - 4) (x + 2) : 2 x^{2} - 8

= \int 2 x^{2} - 8 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^{2} d x - \int 8 d x

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

\int 8 d x = 8 x

= \frac{2 x ^{3}}{3} - 8 x

Füge eine Konstante zur Lösung hinzu

= \frac{2 x ^{3}}{3} - 8 x + C

Graph

Beliebte Beispiele

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