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sin(x/2)/x
Solving integrals/ sin(x/2)/x

Integral of sin(x/2)/x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1          
  /          
 |           
 |     /x\   
 |  sin|-|   
 |     \2/   
 |  ------ dx
 |    x      
 |           
/            
0
∫01sin⁡(x2)x dx\int\limits_{0}^{1} \frac{\sin{\left(\frac{x}{2} \right)}}{x}\, dx 
Integral(sin(x/2)/x, (x, 0, 1))
Detail solution

    SiRule(a=1/2, b=0, context=sin(x/2)/x, symbol=x)

  1. Add the constant of integration:

    Si⁡(x2)+constant\operatorname{Si}{\left(\frac{x}{2} \right)}+ \mathrm{constant}

The answer is:

Si⁡(x2)+constant\operatorname{Si}{\left(\frac{x}{2} \right)}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                     
 |                      
 |    /x\               
 | sin|-|               
 |    \2/            /x\
 | ------ dx = C + Si|-|
 |   x               \2/
 |                      
/
∫sin⁡(x2)x dx=C+Si⁡(x2)\int \frac{\sin{\left(\frac{x}{2} \right)}}{x}\, dx = C + \operatorname{Si}{\left(\frac{x}{2} \right)}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.900.01.0
Plot the graph f(x)
The answer [src] 
Si(1/2)
Si⁡(12)\operatorname{Si}{\left(\frac{1}{2} \right)} 
=
= 
Si(1/2)
Si⁡(12)\operatorname{Si}{\left(\frac{1}{2} \right)}
Упростить
Numerical answer [src] 
0.493107418043067
0.493107418043067
The graph
Integral of sin(x/2)/x dx

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

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