integral of (cot^2(11x))/(sec(11x))

Lösung

\int \frac{cot ^{2} ( 11 x )}{sec ( 11 x )} d x

\frac{1}{11} cot^{2} (11 x) sin (11 x) - \frac{2}{11} csc (11 x) + C

Schritte zur Lösung

\int \frac{cot ^{2} ( 11 x )}{sec ( 11 x )} d x

Wende die partielle Integration an

= \frac{1}{11} cot^{2} (11 x) sin (11 x) - \int - 2 csc^{2} (11 x) cot (11 x) sin (11 x) d x

\int - 2 csc^{2} (11 x) cot (11 x) sin (11 x) d x = \frac{2}{11} csc (11 x)

= \frac{1}{11} cot^{2} (11 x) sin (11 x) - \frac{2}{11} csc (11 x)

Füge eine Konstante zur Lösung hinzu

= \frac{1}{11} cot^{2} (11 x) sin (11 x) - \frac{2}{11} csc (11 x) + C

2 y^{'} - y^{2} + 4 = 0

\int \frac{t}{t ^{4} + 25} d t

\int \frac{2 x + 1}{x ^{2} + x - 3} d x

\int \frac{ln ( x ^{5} )}{x} d x

l a pl a ce t r an s f or m \frac{2}{3} t^{2} + 5 e^{- 4 t}