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Beliebt Rechnen >

integral of arcsech(x)

Lösung

\int arcsech (x) d x

Lösung

x arcsech (x) + 2 arcsin (\frac{1}{2} x + 1) + C

Schritte zur Lösung

\int arcsech (x) d x

Wende die partielle Integration an

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

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

= x arcsech (x) - (- 2 arcsin (\frac{1}{2} x + 1))

Vereinfache

= x arcsech (x) + 2 arcsin (\frac{1}{2} x + 1)

Füge eine Konstante zur Lösung hinzu

= x arcsech (x) + 2 arcsin (\frac{1}{2} x + 1) + C

Graph

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