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Beliebt Rechnen >

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

Lösung

\int 1 + \frac{1}{( x + 1 ) ^{2}} d x

Lösung

x - \frac{1}{x + 1} + C

Schritte zur Lösung

\int 1 + \frac{1}{( x + 1 ) ^{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 1 d x + \int \frac{1}{( x + 1 ) ^{2}} d x

\int 1 d x = x

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

= x - \frac{1}{x + 1}

Füge eine Konstante zur Lösung hinzu

= x - \frac{1}{x + 1} + C

Graph

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