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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Vereinfache

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

= \int x - 1 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 x d x - \int 1 d x

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

\int 1 d x = x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

derivative of (x^2/(x-1))

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