Интеграл 1/sin(x)^(23) (dx)

Вы ввели

  1            
  /            
 |             
 |     1       
 |  -------- dx
 |     23      
 |  sin  (x)   
 |             
/              
0              

$$\int_{0}^{1} \frac{1}{\sin^{23}{\left (x \right )}}\, dx$$

Численный ответ

6.53781434193313e+417

Ответ (Неопределённый)

  /                                                                                                                                                                                                                                                                                                                            
 |                                                                                               11                    7                    15                   3                   19                  21                                     17                    5                    13                    9             
 |    1              88179*log(1 + cos(x))   88179*log(-1 + cos(x))              - 5503713280*cos  (x) - 3424523520*cos (x) - 2163862272*cos  (x) - 450357600*cos (x) - 155195040*cos  (x) + 14549535*cos  (x) + 71957985*cos(x) + 749786037*cos  (x) + 1551313995*cos (x) + 4139920070*cos  (x) + 5174056250*cos (x)          
 | -------- dx = C - --------------------- + ---------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
 |    23                    1048576                 1048576                                      12                     8                     16                    4                   20                  22                   2                    18                     6                     14                     10   
 | sin  (x)                                                           -86507520 - 39966474240*cos  (x) - 28547481600*cos (x) - 14273740800*cos  (x) - 4757913600*cos (x) - 951582720*cos  (x) + 86507520*cos  (x) + 951582720*cos (x) + 4757913600*cos  (x) + 14273740800*cos (x) + 28547481600*cos  (x) + 39966474240*cos  (x)
 |                                                                                                                                                                                                                                                                                                                             
/                                                                                                                                                                                                                                                                                                                              

$$-{{88179\,\log \left(\cos x+1\right)}\over{1048576}}+{{88179\,\log \left(\cos x-1\right)}\over{1048576}}+{{14549535\,\cos ^{21}x- 155195040\,\cos ^{19}x+749786037\,\cos ^{17}x-2163862272\,\cos ^{15} x+4139920070\,\cos ^{13}x-5503713280\,\cos ^{11}x+5174056250\,\cos ^ 9x-3424523520\,\cos ^7x+1551313995\,\cos ^5x-450357600\,\cos ^3x+ 71957985\,\cos x}\over{86507520\,\cos ^{22}x-951582720\,\cos ^{20}x+ 4757913600\,\cos ^{18}x-14273740800\,\cos ^{16}x+28547481600\,\cos ^{14}x-39966474240\,\cos ^{12}x+39966474240\,\cos ^{10}x-28547481600 \,\cos ^8x+14273740800\,\cos ^6x-4757913600\,\cos ^4x+951582720\, \cos ^2x-86507520}}$$