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Integral of (sin2x)/(sqrt((cosx^4)+3)) dx

Limits of integration:

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The solution

You have entered [src]
  1                    
  /                    
 |                     
 |      sin(2*x)       
 |  ---------------- dx
 |     _____________   
 |    /    4           
 |  \/  cos (x) + 3    
 |                     
/                      
0                      
$$\int\limits_{0}^{1} \frac{\sin{\left(2 x \right)}}{\sqrt{\cos^{4}{\left(x \right)} + 3}}\, dx$$
Integral(sin(2*x)/sqrt(cos(x)^4 + 3), (x, 0, 1))
The answer (Indefinite) [src]
  /                              /                   
 |                              |                    
 |     sin(2*x)                 |  cos(x)*sin(x)     
 | ---------------- dx = C + 2* | ---------------- dx
 |    _____________             |    _____________   
 |   /    4                     |   /        4       
 | \/  cos (x) + 3              | \/  3 + cos (x)    
 |                              |                    
/                              /                     
$$\int \frac{\sin{\left(2 x \right)}}{\sqrt{\cos^{4}{\left(x \right)} + 3}}\, dx = C + 2 \int \frac{\sin{\left(x \right)} \cos{\left(x \right)}}{\sqrt{\cos^{4}{\left(x \right)} + 3}}\, dx$$
The answer [src]
  1                    
  /                    
 |                     
 |      sin(2*x)       
 |  ---------------- dx
 |     _____________   
 |    /        4       
 |  \/  3 + cos (x)    
 |                     
/                      
0                      
$$\int\limits_{0}^{1} \frac{\sin{\left(2 x \right)}}{\sqrt{\cos^{4}{\left(x \right)} + 3}}\, dx$$
=
=
  1                    
  /                    
 |                     
 |      sin(2*x)       
 |  ---------------- dx
 |     _____________   
 |    /        4       
 |  \/  3 + cos (x)    
 |                     
/                      
0                      
$$\int\limits_{0}^{1} \frac{\sin{\left(2 x \right)}}{\sqrt{\cos^{4}{\left(x \right)} + 3}}\, dx$$
Integral(sin(2*x)/sqrt(3 + cos(x)^4), (x, 0, 1))
Numerical answer [src]
0.381550194650401
0.381550194650401

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