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Solving integrals/ sqrt(tan(x))/(2sinxcosx)

Integral of sqrt(tan(x))/(2sinxcosx) dx

Limits of integration:

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Piecewise:

The solution

You have entered [src] 
  1                   
  /                   
 |                    
 |       ________     
 |     \/ tan(x)      
 |  --------------- dx
 |  2*sin(x)*cos(x)   
 |                    
/                     
0
∫01tan⁡(x)2sin⁡(x)cos⁡(x) dx\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         
 |                                             
/
∫tan⁡(x)2sin⁡(x)cos⁡(x) dx=C+∫tan⁡(x)sin⁡(x)cos⁡(x) dx2\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}
Simplify
The answer [src] 
  1                 
  /                 
 |                  
 |      ________    
 |    \/ tan(x)     
 |  ------------- dx
 |  cos(x)*sin(x)   
 |                  
/                   
0                   
--------------------
         2
∫01tan⁡(x)sin⁡(x)cos⁡(x) dx2\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
∫01tan⁡(x)sin⁡(x)cos⁡(x) dx2\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.

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