integral of arccsc(x/2)

Lösung

\int arccsc (\frac{x}{2}) d x

x arccsc (\frac{x}{2}) + 2 ln (\frac{1}{2} x^{2} - 4 + x) + C

Schritte zur Lösung

\int arccsc (\frac{x}{2}) d x

Wende die partielle Integration an

= x arccsc (\frac{x}{2}) - \int - \frac{2 x}{x ^{2} x ^{2} - 4} d x

\int - \frac{2 x}{x ^{2} x ^{2} - 4} d x = - 2 ln (\frac{1}{2} x^{2} - 4 + x)

= x arccsc (\frac{x}{2}) - (- 2 ln (\frac{1}{2} x^{2} - 4 + x))

Vereinfache

= x arccsc (\frac{x}{2}) + 2 ln (\frac{1}{2} x^{2} - 4 + x)

Füge eine Konstante zur Lösung hinzu

= x arccsc (\frac{x}{2}) + 2 ln (\frac{1}{2} x^{2} - 4 + x) + C

y^{^{''}} - 8 y^{^{'}} + 13 y = 0

n \to \infty lim (1 - n^{2})

\frac{\partial}{\partial x} (- 7 (x + 2 y)^{5})

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

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