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Integral of (dx)/sqrt(sin2x) dx

Limits of integration:

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Piecewise:

The solution

You have entered [src]
 4*pi               
 ----               
  3                 
   /                
  |                 
  |       1         
  |  ------------ dx
  |    __________   
  |  \/ sin(2*x)    
  |                 
 /                  
 pi                 
$$\int\limits_{\pi}^{\frac{4 \pi}{3}} \frac{1}{\sqrt{\sin{\left(2 x \right)}}}\, dx$$
Integral(1/(sqrt(sin(2*x))), (x, pi, 4*pi/3))
The answer [src]
 4*pi               
 ----               
  3                 
   /                
  |                 
  |       1         
  |  ------------ dx
  |    __________   
  |  \/ sin(2*x)    
  |                 
 /                  
 pi                 
$$\int\limits_{\pi}^{\frac{4 \pi}{3}} \frac{1}{\sqrt{\sin{\left(2 x \right)}}}\, dx$$
=
=
 4*pi               
 ----               
  3                 
   /                
  |                 
  |       1         
  |  ------------ dx
  |    __________   
  |  \/ sin(2*x)    
  |                 
 /                  
 pi                 
$$\int\limits_{\pi}^{\frac{4 \pi}{3}} \frac{1}{\sqrt{\sin{\left(2 x \right)}}}\, dx$$
Integral(1/sqrt(sin(2*x)), (x, pi, 4*pi/3))
Numerical answer [src]
(1.57911638213634 - 1.73798011181399e-8j)
(1.57911638213634 - 1.73798011181399e-8j)

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