Интеграл tan(x)^(32) (dx)

Вы ввели

  1            
  /            
 |             
 |     32      
 |  tan  (x) dx
 |             
/              
0              

$$\int_{0}^{1} \tan^{32}{\left (x \right )}\, dx$$

Ответ

  1                                                                                                                                                                                                                                   
  /                                                                                                                                                                                                                                   
 |                                 5           9            13            17            21            25            29           3           7            11            15            19            23            27            31    
 |     32             sin(1)    sin (1)     sin (1)      sin  (1)      sin  (1)      sin  (1)      sin  (1)      sin  (1)     sin (1)     sin (1)      sin  (1)      sin  (1)      sin  (1)      sin  (1)      sin  (1)      sin  (1) 
 |  tan  (x) dx = 1 - ------ - --------- - --------- - ----------- - ----------- - ----------- - ----------- - ----------- + --------- + --------- + ----------- + ----------- + ----------- + ----------- + ----------- + -----------
 |                    cos(1)        5           9            13            17            21            25            29           3           7            11            15            19            23            27            31   
/                              5*cos (1)   9*cos (1)   13*cos  (1)   17*cos  (1)   21*cos  (1)   25*cos  (1)   29*cos  (1)   3*cos (1)   7*cos (1)   11*cos  (1)   15*cos  (1)   19*cos  (1)   23*cos  (1)   27*cos  (1)   31*cos  (1)
0                                                                                                                                                                                                                                     

$${{145568097675\,\tan ^{31}1-155607276825\,\tan ^{29}1+167133741775 \,\tan ^{27}1-180504441117\,\tan ^{25}1+196200479475\,\tan ^{23}1- 214886239425\,\tan ^{21}1+237505843575\,\tan ^{19}1-265447707525\, \tan ^{17}1+300840735195\,\tan ^{15}1-347123925225\,\tan ^{13}1+ 410237366175\,\tan ^{11}1-501401225325\,\tan ^91+644658718275\,\tan ^71-902522205585\,\tan ^51+1504203675975\,\tan ^31-4512611027925\, \tan 1}\over{4512611027925}}+1$$

Численный ответ

20640.3469712754

Ответ (Неопределённый)

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

$${{145568097675\,\tan ^{31}x-155607276825\,\tan ^{29}x+167133741775 \,\tan ^{27}x-180504441117\,\tan ^{25}x+196200479475\,\tan ^{23}x- 214886239425\,\tan ^{21}x+237505843575\,\tan ^{19}x-265447707525\, \tan ^{17}x+300840735195\,\tan ^{15}x-347123925225\,\tan ^{13}x+ 410237366175\,\tan ^{11}x-501401225325\,\tan ^9x+644658718275\,\tan ^7x-902522205585\,\tan ^5x+1504203675975\,\tan ^3x-4512611027925\, \tan x}\over{4512611027925}}+x$$