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Integral of x*sin(180/x) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src]
 129600             
    /               
   |                
   |        /180\   
   |   x*sin|---| dx
   |        \ x /   
   |                
  /                 
  0                 
$$\int\limits_{0}^{129600} x \sin{\left(\frac{180}{x} \right)}\, dx$$
Integral(x*sin(180/x), (x, 0, 129600))
The answer (Indefinite) [src]
  /                                     2    /180\                
 |                                     x *sin|---|                
 |      /180\                  /180\         \ x /           /180\
 | x*sin|---| dx = C + 16200*Si|---| + ----------- + 90*x*cos|---|
 |      \ x /                  \ x /        2                \ x /
 |                                                                
/                                                                 
$$\int x \sin{\left(\frac{180}{x} \right)}\, dx = C + \frac{x^{2} \sin{\left(\frac{180}{x} \right)}}{2} + 90 x \cos{\left(\frac{180}{x} \right)} + 16200 \operatorname{Si}{\left(\frac{180}{x} \right)}$$
The graph
The answer [src]
-8100*pi + 16200*Si(1/720) + 11664000*cos(1/720) + 8398080000*sin(1/720)
$$- 8100 \pi + 16200 \operatorname{Si}{\left(\frac{1}{720} \right)} + 11664000 \cos{\left(\frac{1}{720} \right)} + 8398080000 \sin{\left(\frac{1}{720} \right)}$$
=
=
-8100*pi + 16200*Si(1/720) + 11664000*cos(1/720) + 8398080000*sin(1/720)
$$- 8100 \pi + 16200 \operatorname{Si}{\left(\frac{1}{720} \right)} + 11664000 \cos{\left(\frac{1}{720} \right)} + 8398080000 \sin{\left(\frac{1}{720} \right)}$$
-8100*pi + 16200*Si(1/720) + 11664000*cos(1/720) + 8398080000*sin(1/720)
Numerical answer [src]
23302553.7775172
23302553.7775172

    Use the examples entering the upper and lower limits of integration.