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Beliebt Rechnen >

integral of (2x^2-13x+11)/(x-1)

Lösung

\int \frac{2 x ^{2} - 13 x + 11}{x - 1} d x

Lösung

x^{2} - 11 x + C

Schritte zur Lösung

\int \frac{2 x ^{2} - 13 x + 11}{x - 1} d x

Vereinfache

\frac{2 x ^{2} - 13 x + 11}{x - 1} : 2 x - 11

= \int 2 x - 11 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 11 d x

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

\int 11 d x = 11 x

= x^{2} - 11 x

Füge eine Konstante zur Lösung hinzu

= x^{2} - 11 x + C

Graph

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