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Integral of sqrt(tgx)/(2sinx*cosx) dx

Limits of integration:

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The solution

You have entered [src]
  1                   
  /                   
 |                    
 |       ________     
 |     \/ tan(x)      
 |  --------------- dx
 |  2*sin(x)*cos(x)   
 |                    
/                     
0                     
$$\int\limits_{0}^{1} \frac{\sqrt{\tan{\left(x \right)}}}{2 \sin{\left(x \right)} \cos{\left(x \right)}}\, dx$$
Integral(sqrt(tan(x))/(((2*sin(x))*cos(x))), (x, 0, 1))
The answer (Indefinite) [src]
                              /                
                             |                 
                             |     ________    
                             |   \/ tan(x)     
  /                          | ------------- dx
 |                           | cos(x)*sin(x)   
 |      ________             |                 
 |    \/ tan(x)             /                  
 | --------------- dx = C + -------------------
 | 2*sin(x)*cos(x)                   2         
 |                                             
/                                              
$$\int \frac{\sqrt{\tan{\left(x \right)}}}{2 \sin{\left(x \right)} \cos{\left(x \right)}}\, dx = C + \frac{\int \frac{\sqrt{\tan{\left(x \right)}}}{\sin{\left(x \right)} \cos{\left(x \right)}}\, dx}{2}$$
The answer [src]
  1                 
  /                 
 |                  
 |      ________    
 |    \/ tan(x)     
 |  ------------- dx
 |  cos(x)*sin(x)   
 |                  
/                   
0                   
--------------------
         2          
$$\frac{\int\limits_{0}^{1} \frac{\sqrt{\tan{\left(x \right)}}}{\sin{\left(x \right)} \cos{\left(x \right)}}\, dx}{2}$$
=
=
  1                 
  /                 
 |                  
 |      ________    
 |    \/ tan(x)     
 |  ------------- dx
 |  cos(x)*sin(x)   
 |                  
/                   
0                   
--------------------
         2          
$$\frac{\int\limits_{0}^{1} \frac{\sqrt{\tan{\left(x \right)}}}{\sin{\left(x \right)} \cos{\left(x \right)}}\, dx}{2}$$
Integral(sqrt(tan(x))/(cos(x)*sin(x)), (x, 0, 1))/2
Numerical answer [src]
1.24796142721597
1.24796142721597

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