integral of arccsc(t/2)

Lösung

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

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

Schritte zur Lösung

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

Wende die partielle Integration an

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

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

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

Vereinfache

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

Füge eine Konstante zur Lösung hinzu

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

d er i v a t i v e (7 a + 1)^{2}

x \to 9 lim (\frac{4}{x - 9})

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