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  • Identical expressions

  • sqrt((one -cos(two *x)/ two))
  • square root of ((1 minus co sinus of e of (2 multiply by x) divide by 2))
  • square root of ((one minus co sinus of e of (two multiply by x) divide by two))
  • √((1-cos(2*x)/2))
  • sqrt((1-cos(2x)/2))
  • sqrt1-cos2x/2
  • sqrt((1-cos(2*x) divide by 2))
  • sqrt((1-cos(2*x)/2))dx

  • Similar expressions

  • sqrt((1+cos(2*x)/2))
Solving integrals/ sqrt((1-cos(2*x)/2))

Integral of sqrt((1-cos(2*x)/2)) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 pi                      
 --                      
 2                       
  /                      
 |                       
 |      ______________   
 |     /     cos(2*x)    
 |    /  1 - --------  dx
 |  \/          2        
 |                       
/                        
0
$$\int\limits_{0}^{\frac{\pi}{2}} \sqrt{- \frac{\cos{\left(2 x \right)}}{2} + 1}\, dx$$ 
Integral(sqrt(1 - cos(2*x)/2), (x, 0, pi/2))
The answer (Indefinite) [src] 
                                       /                   
                                      |                    
  /                              ___  |   ______________   
 |                             \/ 2 * | \/ 2 - cos(2*x)  dx
 |     ______________                 |                    
 |    /     cos(2*x)                 /                     
 |   /  1 - --------  dx = C + ----------------------------
 | \/          2                            2              
 |                                                         
/
$$\int \sqrt{- \frac{\cos{\left(2 x \right)}}{2} + 1}\, dx = C + \frac{\sqrt{2} \int \sqrt{2 - \cos{\left(2 x \right)}}\, dx}{2}$$
Simplify
Numerical answer [src] 
1.54463102381839
1.54463102381839

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

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