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sin(x/2)^2*dx
Solving integrals/ sin(x/2)^2*dx

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

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The solution

You have entered [src] 
  1             
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 |     2/x\     
 |  sin |-|*1 dx
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∫01sin⁡2(x2)1 dx\int\limits_{0}^{1} \sin^{2}{\left(\frac{x}{2} \right)} 1\, dx 
Integral(sin(x/2)^2*1, (x, 0, 1))
The answer (Indefinite) [src] 
  /                                    
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 |    2/x\            x      /x\    /x\
 | sin |-|*1 dx = C + - - cos|-|*sin|-|
 |     \2/            2      \2/    \2/
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x2−sin⁡x2{{x}\over{2}}-{{\sin x}\over{2}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.900.000.25
Plot the graph f(x)
The answer [src] 
1/2 - cos(1/2)*sin(1/2)
−sin⁡1−12-{{\sin 1-1}\over{2}} 
=
= 
1/2 - cos(1/2)*sin(1/2)
−sin⁡(12)cos⁡(12)+12- \sin{\left(\frac{1}{2} \right)} \cos{\left(\frac{1}{2} \right)} + \frac{1}{2}
Упростить
Numerical answer [src] 
0.0792645075960517
0.0792645075960517
The graph
Integral of sin(x/2)^2*dx dx

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

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