Интеграл sin(5*x)*sin(x) (dx)

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  1                   
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 |  sin(5*x)*sin(x) dx
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$$\int_{0}^{1} \sin{\left (x \right )} \sin{\left (5 x \right )}\, dx$$

Ответ

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  1                                                       
  /                                                       
 |                         5*cos(5)*sin(1)   cos(1)*sin(5)
 |  sin(5*x)*sin(x) dx = - --------------- + -------------
 |                                24               24     
/                                                         
0                                                         

$$-{{2\,\sin 6-3\,\sin 4}\over{24}}$$

Численный ответ

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-0.0713156870635805

Ответ (Неопределённый)

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  /                                                            
 |                          5*cos(5*x)*sin(x)   cos(x)*sin(5*x)
 | sin(5*x)*sin(x) dx = C - ----------------- + ---------------
 |                                  24                 24      
/                                                              

$${{\sin \left(4\,x\right)}\over{8}}-{{\sin \left(6\,x\right)}\over{ 12}}$$

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