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Beliebt Rechnen >

integral of zarcsec(z)

Lösung

\int z arcsec (z) d z

Lösung

\frac{1}{2} z^{2} arcsec (z) - \frac{1}{2} z^{2} - 1 + C

Schritte zur Lösung

\int z arcsec (z) d z

Wende die partielle Integration an

= \frac{1}{2} z^{2} arcsec (z) - \int \frac{z ^{2}}{2 z ^{2} z ^{2} - 1} d z

\int \frac{z ^{2}}{2 z ^{2} z ^{2} - 1} d z = \frac{1}{2} z^{2} - 1

= \frac{1}{2} z^{2} arcsec (z) - \frac{1}{2} z^{2} - 1

Füge eine Konstante zur Lösung hinzu

= \frac{1}{2} z^{2} arcsec (z) - \frac{1}{2} z^{2} - 1 + C

Graph

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