integral of arcsec(x)

Lösung

\int arcsec (x) d x

x arcsec (x) - ln x + x^{2} - 1 + C

Schritte zur Lösung

\int arcsec (x) d x

Wende die partielle Integration an

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

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

= x arcsec (x) - ln x + x^{2} - 1

Füge eine Konstante zur Lösung hinzu

= x arcsec (x) - ln x + x^{2} - 1 + C

x \to - 4 - lim (x^{2} + \frac{5}{x + 4})

\int \frac{1}{1 - 0.5 x} d x

x \to 10 - lim (8 - x)

\frac{\partial}{\partial z} (x e^{z} + x y + z^{3} - 4)

\int e^{x} 1 - e^{2 x} d x