Интеграл x*sin(a*x) (dx)

Вы ввели

  1              
  /              
 |               
 |  x*sin(a*x) dx
 |               
/                
0                

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

Ответ

  1                 /       0         for a = 0
  /                 |                          
 |                  |sin(a)   cos(a)           
 |  x*sin(a*x) dx = <------ - ------  otherwise
 |                  |   2       a              
/                   |  a                       
0                   \                          

$${{\sin a-a\,\cos a}\over{a^2}}$$