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(sin(x/2))/x^2dx

Integral of (sin(x/2))/x^2 dx

The solution

You have entered [src]

  1          
  /          
 |           
 |     /x\   
 |  sin|-|   
 |     \2/   
 |  ------ dx
 |     2     
 |    x      
 |           
/            
0

\int\limits_{0}^{1} \frac{\sin{\left(\frac{x}{2} \right)}}{x^{2}}\, dx

Integral(sin(x/2)/x^2, (x, 0, 1))

The answer (Indefinite) [src]

  /                  /         
 |                  |          
 |    /x\           |    /x\   
 | sin|-|           | sin|-|   
 |    \2/           |    \2/   
 | ------ dx = C +  | ------ dx
 |    2             |    2     
 |   x              |   x      
 |                  |          
/                  /

\int \frac{\sin{\left(\frac{x}{2} \right)}}{x^{2}}\, dx = C + \int \frac{\sin{\left(\frac{x}{2} \right)}}{x^{2}}\, dx

Simplify

The answer [src]

     Ci(1/2)
oo + -------
        2

\frac{\operatorname{Ci}{\left(\frac{1}{2} \right)}}{2} + \infty

     Ci(1/2)
oo + -------
        2

\frac{\operatorname{Ci}{\left(\frac{1}{2} \right)}}{2} + \infty

oo + Ci(1/2)/2

Numerical answer [src]

22.0348712468181

22.0348712468181

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

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Identical expressions

Integral of (sin(x/2))/x^2 dx

Limits of integration:

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The solution