Интеграл 1/sin(x)^(25) (dx)

Вы ввели

  1            
  /            
 |             
 |     1       
 |  -------- dx
 |     25      
 |  sin  (x)   
 |             
/              
0              

$$\int_{0}^{1} \frac{1}{\sin^{25}{\left (x \right )}}\, dx$$

Численный ответ

6.50984447279356e+455

Ответ (Неопределённый)

  /                                                                                                                                                                                                                                                                                                                                                                            
 |                                                                                                     13                      9                     17                     5                    21                                       23                     3                     19                      7                      15                      11               
 |    1              676039*log(1 + cos(x))   676039*log(-1 + cos(x))                - 221803567050*cos  (x) - 197767334710*cos (x) - 67013911107*cos  (x) - 46038446685*cos (x) - 3904125225*cos  (x) - 1741541175*cos(x) + 334639305*cos  (x) + 12013258455*cos (x) + 20814564771*cos  (x) + 114444262845*cos (x) + 144986993866*cos  (x) + 245588699190*cos  (x)            
 | -------- dx = C - ---------------------- + ----------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
 |    25                    8388608                   8388608                                         10                       14                      6                      18                     2                     22                    24                      4                      20                       8                       16                       12   
 | sin  (x)                                                             2076180480 - 1644334940160*cos  (x) - 1644334940160*cos  (x) - 456759705600*cos (x) - 456759705600*cos  (x) - 24914165760*cos (x) - 24914165760*cos  (x) + 2076180480*cos  (x) + 137027911680*cos (x) + 137027911680*cos  (x) + 1027709337600*cos (x) + 1027709337600*cos  (x) + 1918390763520*cos  (x)
 |                                                                                                                                                                                                                                                                                                                                                                             
/                                                                                                                                                                                                                                                                                                                                                                              

$$-{{676039\,\log \left(\cos x+1\right)}\over{8388608}}+{{676039\, \log \left(\cos x-1\right)}\over{8388608}}+{{334639305\,\cos ^{23}x- 3904125225\,\cos ^{21}x+20814564771\,\cos ^{19}x-67013911107\,\cos ^{17}x+144986993866\,\cos ^{15}x-221803567050\,\cos ^{13}x+ 245588699190\,\cos ^{11}x-197767334710\,\cos ^9x+114444262845\,\cos ^7x-46038446685\,\cos ^5x+12013258455\,\cos ^3x-1741541175\,\cos x }\over{2076180480\,\cos ^{24}x-24914165760\,\cos ^{22}x+137027911680 \,\cos ^{20}x-456759705600\,\cos ^{18}x+1027709337600\,\cos ^{16}x- 1644334940160\,\cos ^{14}x+1918390763520\,\cos ^{12}x-1644334940160 \,\cos ^{10}x+1027709337600\,\cos ^8x-456759705600\,\cos ^6x+ 137027911680\,\cos ^4x-24914165760\,\cos ^2x+2076180480}}$$