Integral de ctg^32xdx dx

  /                                                                                                                                                                                                                                      
 |                                    3           7            11            15            19            23            27            31           5           9            13            17            21            25            29    
 |    32                 cos(x)    cos (x)     cos (x)      cos  (x)      cos  (x)      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)        3           7            11            15            19            23            27            31           5           9            13            17            21            25            29   
/                                 3*sin (x)   7*sin (x)   11*sin  (x)   15*sin  (x)   19*sin  (x)   23*sin  (x)   27*sin  (x)   31*sin  (x)   5*sin (x)   9*sin (x)   13*sin  (x)   17*sin  (x)   21*sin  (x)   25*sin  (x)   29*sin  (x)

$$\int \cot^{32}{\left(x \right)}\, dx = C + x + \frac{\cos{\left(x \right)}}{\sin{\left(x \right)}} - \frac{\cos^{3}{\left(x \right)}}{3 \sin^{3}{\left(x \right)}} + \frac{\cos^{5}{\left(x \right)}}{5 \sin^{5}{\left(x \right)}} - \frac{\cos^{7}{\left(x \right)}}{7 \sin^{7}{\left(x \right)}} + \frac{\cos^{9}{\left(x \right)}}{9 \sin^{9}{\left(x \right)}} - \frac{\cos^{11}{\left(x \right)}}{11 \sin^{11}{\left(x \right)}} + \frac{\cos^{13}{\left(x \right)}}{13 \sin^{13}{\left(x \right)}} - \frac{\cos^{15}{\left(x \right)}}{15 \sin^{15}{\left(x \right)}} + \frac{\cos^{17}{\left(x \right)}}{17 \sin^{17}{\left(x \right)}} - \frac{\cos^{19}{\left(x \right)}}{19 \sin^{19}{\left(x \right)}} + \frac{\cos^{21}{\left(x \right)}}{21 \sin^{21}{\left(x \right)}} - \frac{\cos^{23}{\left(x \right)}}{23 \sin^{23}{\left(x \right)}} + \frac{\cos^{25}{\left(x \right)}}{25 \sin^{25}{\left(x \right)}} - \frac{\cos^{27}{\left(x \right)}}{27 \sin^{27}{\left(x \right)}} + \frac{\cos^{29}{\left(x \right)}}{29 \sin^{29}{\left(x \right)}} - \frac{\cos^{31}{\left(x \right)}}{31 \sin^{31}{\left(x \right)}}$$

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