Интеграл sin(2*x)*sin(4*x) (dx)

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  1                     
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 |  sin(2*x)*sin(4*x) dx
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$$\int_{0}^{1} \sin{\left (2 x \right )} \sin{\left (4 x \right )}\, dx$$

Ответ

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  1                                                       
  /                                                       
 |                           cos(4)*sin(2)   cos(2)*sin(4)
 |  sin(2*x)*sin(4*x) dx = - ------------- + -------------
 |                                 3               6      
/                                                         
0                                                         

$$-{{\sin 6-3\,\sin 2}\over{12}}$$

Численный ответ

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0.250608981556331

Ответ (Неопределённый)

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  /                                                                
 |                            cos(4*x)*sin(2*x)   cos(2*x)*sin(4*x)
 | sin(2*x)*sin(4*x) dx = C - ----------------- + -----------------
 |                                    3                   6        
/                                                                  

$${{\sin \left(2\,x\right)}\over{4}}-{{\sin \left(6\,x\right)}\over{ 12}}$$

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