Интеграл sin(x)^(7)*cos(x)^(3) (dx)

Вы ввели

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  1                   
  /                   
 |                    
 |     7       3      
 |  sin (x)*cos (x) dx
 |                    
/                     
0                     

$$\int_{0}^{1} \sin^{7}{\left (x \right )} \cos^{3}{\left (x \right )}\, dx$$

Ответ

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  1                                          
  /                                          
 |                            10         8   
 |     7       3           sin  (1)   sin (1)
 |  sin (x)*cos (x) dx = - -------- + -------
 |                            10         8   
/                                            
0                                            

$$-{{4\,\sin ^{10}1-5\,\sin ^81}\over{40}}$$

Численный ответ

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0.01362239965122