integral of (cot^2(7x))/(sec(7x))

Lösung

\int \frac{cot ^{2} ( 7 x )}{sec ( 7 x )} d x

\frac{1}{7} cot^{2} (7 x) sin (7 x) - \frac{2}{7} csc (7 x) + C

Schritte zur Lösung

\int \frac{cot ^{2} ( 7 x )}{sec ( 7 x )} d x

Wende die partielle Integration an

= \frac{1}{7} cot^{2} (7 x) sin (7 x) - \int - 2 csc^{2} (7 x) cot (7 x) sin (7 x) d x

\int - 2 csc^{2} (7 x) cot (7 x) sin (7 x) d x = \frac{2}{7} csc (7 x)

= \frac{1}{7} cot^{2} (7 x) sin (7 x) - \frac{2}{7} csc (7 x)

Füge eine Konstante zur Lösung hinzu

= \frac{1}{7} cot^{2} (7 x) sin (7 x) - \frac{2}{7} csc (7 x) + C

\int ln (5 x + 4) d x

\frac{d}{d x} (\frac{1}{sin ( x )} + \frac{1}{cos ( x )})

\frac{d}{d y} (2 4 - y)

\int \frac{5}{( x - 2 ) ^{2}} d x

\frac{d}{d x} (2 sec (x))