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sin(1/x)
Solving integrals/ sin(1/x)

Integral of sin(1/x) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1            
  /            
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 |     /  1\   
 |  sin|1*-| dx
 |     \  x/   
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0
∫01sin⁡(1⋅1x) dx\int\limits_{0}^{1} \sin{\left(1 \cdot \frac{1}{x} \right)}\, dx
Simplify
The answer (Indefinite) [src] 
                                /1 \                    
  /                          log|--|                    
 |                              | 2|                    
 |    /  1\            /1\      \x /        /1\      /1\
 | sin|1*-| dx = C - Ci|-| - ------- + x*sin|-| + log|-|
 |    \  x/            \x/      2           \x/      \x/
 |                                                      
/
2 sin⁡(1x) x+Γ(0,ix)+Γ(0,−ix)2{{2\,\sin \left({{1}\over{x}}\right)\,x+\Gamma\left(0 , {{i}\over{x }}\right)+\Gamma\left(0 , -{{i}\over{x}}\right)}\over{2}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.902-2
Plot the graph f(x)
The answer [src] 
-Ci(1) + sin(1)
2 sin⁡1+Γ(0,i)+Γ(0,−i)2{{2\,\sin 1+\Gamma\left(0 , i\right)+\Gamma\left(0 , -i\right) }\over{2}} 
=
= 
-Ci(1) + sin(1)
−Ci⁡(1)+sin⁡(1)- \operatorname{Ci}{\left(1 \right)} + \sin{\left(1 \right)}
Simplify
Numerical answer [src] 
0.505519231923873
0.505519231923873
The graph
Integral of sin(1/x) dx

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

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