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Beliebt Rechnen >

integral of arccosh(x)

Lösung

\int arccosh (x) d x

Lösung

x arccosh (x) - (x - 1) (x + 1) + C

Schritte zur Lösung

\int arccosh (x) d x

Wende die partielle Integration an

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

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

= x arccosh (x) - (x - 1) (x + 1)

Füge eine Konstante zur Lösung hinzu

= x arccosh (x) - (x - 1) (x + 1) + C

Graph

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