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sin^2x/x^2
Solving integrals/ sin^2x/x^2

Integral of sin^2x/x^2 dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1           
  /           
 |            
 |     2      
 |  sin (x)   
 |  ------- dx
 |      2     
 |     x      
 |            
/             
0
∫01sin⁡2(x)x2 dx\int\limits_{0}^{1} \frac{\sin^{2}{\left(x \right)}}{x^{2}}\, dx 
Integral(sin(x)^2/(x^2), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                         
 |                                          
 |    2                                     
 | sin (x)           1    cos(2*x)          
 | ------- dx = C - --- + -------- + Si(2*x)
 |     2            2*x     2*x             
 |    x                                     
 |                                          
/
(i Γ(−1,2 i x)−i Γ(−1,−2 i x)) x−12 x{{\left(i\,\Gamma\left(-1 , 2\,i\,x\right)-i\,\Gamma\left(-1 , -2\, i\,x\right)\right)\,x-1}\over{2\,x}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
Plot the graph f(x)
The answer [src] 
  1   cos(2)        
- - + ------ + Si(2)
  2     2
∫01sin⁡2xx2  dx\int_{0}^{1}{{{\sin ^2x}\over{x^2}}\;dx} 
=
= 
  1   cos(2)        
- - + ------ + Si(2)
  2     2
−12+cos⁡(2)2+Si⁡(2)- \frac{1}{2} + \frac{\cos{\left(2 \right)}}{2} + \operatorname{Si}{\left(2 \right)}
Simplify
Numerical answer [src] 
0.897339558529124
0.897339558529124
The graph
Integral of sin^2x/x^2 dx

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

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