Integral de Cot^22xdx dx

  /                                                                                                                                                                
 |                                    5           9            13            17            21           3           7            11            15            19    
 |    22                 cos(x)    cos (x)     cos (x)      cos  (x)      cos  (x)      cos  (x)     cos (x)     cos (x)      cos  (x)      cos  (x)      cos  (x) 
 | cot  (x) dx = C - x - ------ - --------- - --------- - ----------- - ----------- - ----------- + --------- + --------- + ----------- + ----------- + -----------
 |                       sin(x)        5           9            13            17            21           3           7            11            15            19   
/                                 5*sin (x)   9*sin (x)   13*sin  (x)   17*sin  (x)   21*sin  (x)   3*sin (x)   7*sin (x)   11*sin  (x)   15*sin  (x)   19*sin  (x)

$$\int \cot^{22}{\left(x \right)}\, dx = C - x - \frac{\cos{\left(x \right)}}{\sin{\left(x \right)}} + \frac{\cos^{3}{\left(x \right)}}{3 \sin^{3}{\left(x \right)}} - \frac{\cos^{5}{\left(x \right)}}{5 \sin^{5}{\left(x \right)}} + \frac{\cos^{7}{\left(x \right)}}{7 \sin^{7}{\left(x \right)}} - \frac{\cos^{9}{\left(x \right)}}{9 \sin^{9}{\left(x \right)}} + \frac{\cos^{11}{\left(x \right)}}{11 \sin^{11}{\left(x \right)}} - \frac{\cos^{13}{\left(x \right)}}{13 \sin^{13}{\left(x \right)}} + \frac{\cos^{15}{\left(x \right)}}{15 \sin^{15}{\left(x \right)}} - \frac{\cos^{17}{\left(x \right)}}{17 \sin^{17}{\left(x \right)}} + \frac{\cos^{19}{\left(x \right)}}{19 \sin^{19}{\left(x \right)}} - \frac{\cos^{21}{\left(x \right)}}{21 \sin^{21}{\left(x \right)}}$$

Simplificar