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

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src]
  1                
  /                
 |                 
 |    sin(2*x)     
 |  ------------ dx
 |     2           
 |  sin (sin(x))   
 |                 
/                  
0                  
$$\int\limits_{0}^{1} \frac{\sin{\left(2 x \right)}}{\sin^{2}{\left(\sin{\left(x \right)} \right)}}\, dx$$
Integral(sin(2*x)/sin(sin(x))^2, (x, 0, 1))
The answer (Indefinite) [src]
  /                          /                
 |                          |                 
 |   sin(2*x)               | cos(x)*sin(x)   
 | ------------ dx = C + 2* | ------------- dx
 |    2                     |     2           
 | sin (sin(x))             |  sin (sin(x))   
 |                          |                 
/                          /                  
$$\int \frac{\sin{\left(2 x \right)}}{\sin^{2}{\left(\sin{\left(x \right)} \right)}}\, dx = C + 2 \int \frac{\sin{\left(x \right)} \cos{\left(x \right)}}{\sin^{2}{\left(\sin{\left(x \right)} \right)}}\, dx$$
The answer [src]
  1                
  /                
 |                 
 |    sin(2*x)     
 |  ------------ dx
 |     2           
 |  sin (sin(x))   
 |                 
/                  
0                  
$$\int\limits_{0}^{1} \frac{\sin{\left(2 x \right)}}{\sin^{2}{\left(\sin{\left(x \right)} \right)}}\, dx$$
=
=
  1                
  /                
 |                 
 |    sin(2*x)     
 |  ------------ dx
 |     2           
 |  sin (sin(x))   
 |                 
/                  
0                  
$$\int\limits_{0}^{1} \frac{\sin{\left(2 x \right)}}{\sin^{2}{\left(\sin{\left(x \right)} \right)}}\, dx$$
Integral(sin(2*x)/sin(sin(x))^2, (x, 0, 1))
Numerical answer [src]
88.0897742253132
88.0897742253132

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