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Solving integrals/ 1/sqrt(2tgx+1cos^2x)

Integral of 1/sqrt(2tgx+1cos^2x) dx

Limits of integration:

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Piecewise:

The solution

You have entered [src] 
  1                           
  /                           
 |                            
 |             1              
 |  ----------------------- dx
 |     ____________________   
 |    /               2       
 |  \/  2*tan(x) + cos (x)    
 |                            
/                             
0
$$\int\limits_{0}^{1} \frac{1}{\sqrt{\cos^{2}{\left(x \right)} + 2 \tan{\left(x \right)}}}\, dx$$ 
Integral(1/(sqrt(2*tan(x) + cos(x)^2)), (x, 0, 1))
The answer [src] 
  1                           
  /                           
 |                            
 |             1              
 |  ----------------------- dx
 |     ____________________   
 |    /    2                  
 |  \/  cos (x) + 2*tan(x)    
 |                            
/                             
0
$$\int\limits_{0}^{1} \frac{1}{\sqrt{\cos^{2}{\left(x \right)} + 2 \tan{\left(x \right)}}}\, dx$$ 
=
= 
  1                           
  /                           
 |                            
 |             1              
 |  ----------------------- dx
 |     ____________________   
 |    /    2                  
 |  \/  cos (x) + 2*tan(x)    
 |                            
/                             
0
$$\int\limits_{0}^{1} \frac{1}{\sqrt{\cos^{2}{\left(x \right)} + 2 \tan{\left(x \right)}}}\, dx$$ 
Integral(1/sqrt(cos(x)^2 + 2*tan(x)), (x, 0, 1))
Numerical answer [src] 
0.74234421721455
0.74234421721455

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

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