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Beliebt Rechnen >

integral of (2x-3)(2x+3)

Lösung

\int (2 x - 3) (2 x + 3) d x

Lösung

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

Schritte zur Lösung

\int (2 x - 3) (2 x + 3) d x

Multipliziere aus

(2 x - 3) (2 x + 3) : 4 x^{2} - 9

= \int 4 x^{2} - 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 4 x^{2} d x - \int 9 d x

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

\int 9 d x = 9 x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

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