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Integral of 1/sin²(2x) dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
 pi             
 --             
 4              
  /             
 |              
 |      1       
 |  --------- dx
 |     2        
 |  sin (2*x)   
 |              
/               
pi              
--              
8               
$$\int\limits_{\frac{\pi}{8}}^{\frac{\pi}{4}} \frac{1}{\sin^{2}{\left(2 x \right)}}\, dx$$
Integral(1/(sin(2*x)^2), (x, pi/8, pi/4))
The answer (Indefinite) [src]
  /                             
 |                              
 |     1               cos(2*x) 
 | --------- dx = C - ----------
 |    2               2*sin(2*x)
 | sin (2*x)                    
 |                              
/                               
$$\int \frac{1}{\sin^{2}{\left(2 x \right)}}\, dx = C - \frac{\cos{\left(2 x \right)}}{2 \sin{\left(2 x \right)}}$$
The graph
The answer [src]
1/2
$$\frac{1}{2}$$
=
=
1/2
$$\frac{1}{2}$$
1/2
Numerical answer [src]
0.5
0.5

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