integral of arccsc(x)

Lösung

\int arccsc (x) d x

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

Schritte zur Lösung

\int arccsc (x) d x

Wende die partielle Integration an

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

Vereinfache

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

Füge eine Konstante zur Lösung hinzu

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

\frac{\partial}{\partial x} (7 x y^{4} + 2)

n = 1 \sum \infty (- \frac{10}{11})^{n}

\int \frac{50 x}{sec ( 5 x ^{2} + 5 )} d x

y^{^{'}} = x y^{3} - x y

\int \frac{1}{t t} d t