Интеграл sin(x^4) (dx)

Вы ввели

  1           
  /           
 |            
 |     / 4\   
 |  sin\x / dx
 |            
/             
0             

$$\int_{0}^{1} \sin{\left (x^{4} \right )}\, dx$$

Ответ

  1                           _                    
  /                          |_  /   5/8    |     \
 |               gamma(5/8)* |   |          | -1/4|
 |     / 4\                 1  2 \3/2, 13/8 |     /
 |  sin\x / dx = ----------------------------------
 |                         8*gamma(13/8)           
/                                                  
0                                                  

$$-{{\Gamma\left({{1}\over{4}} , i\right)\,\sin \left({{\pi}\over{8}} \right)}\over{8}}-{{\Gamma\left({{1}\over{4}} , -i\right)\,\sin \left({{\pi}\over{8}}\right)}\over{8}}+{{\Gamma\left({{1}\over{4}} \right)\,\sin \left({{\pi}\over{8}}\right)}\over{4}}-{{i\,\Gamma \left({{1}\over{4}} , i\right)\,\cos \left({{\pi}\over{8}}\right) }\over{8}}+{{i\,\Gamma\left({{1}\over{4}} , -i\right)\,\cos \left({{ \pi}\over{8}}\right)}\over{8}}$$

Численный ответ

0.187569544684671