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Beliebt Rechnen >

integral of [(4x^2-8x+4)/(2x-2)]

Lösung

\int [\frac{4 x ^{2} - 8 x + 4}{2 x - 2}] d x

Lösung

x^{2} - 2 x + C

Schritte zur Lösung

\int \frac{4 x ^{2} - 8 x + 4}{2 x - 2} d x

Lange Division

\frac{4 x ^{2} - 8 x + 4}{2 x - 2} : 2 x - 2

= \int 2 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 2 x d x - \int 2 d x

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

\int 2 d x = 2 x

= x^{2} - 2 x

Füge eine Konstante zur Lösung hinzu

= x^{2} - 2 x + C

Graph

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