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  • Identical expressions

  • sqrt(one +(tg(x/ two))^ two)
  • square root of (1 plus (tg(x divide by 2)) squared )
  • square root of (one plus (tg(x divide by two)) to the power of two)
  • √(1+(tg(x/2))^2)
  • sqrt(1+(tg(x/2))2)
  • sqrt1+tgx/22
  • sqrt(1+(tg(x/2))²)
  • sqrt(1+(tg(x/2)) to the power of 2)
  • sqrt1+tgx/2^2
  • sqrt(1+(tg(x divide by 2))^2)
  • sqrt(1+(tg(x/2))^2)dx

  • Similar expressions

  • sqrt(1-(tg(x/2))^2)
Solving integrals/ sqrt(1+(tg(x/2))^2)

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 pi                     
 --                     
 2                      
  /                     
 |                      
 |      _____________   
 |     /        2/x\    
 |    /  1 + tan |-|  dx
 |  \/           \2/    
 |                      
/                       
0
$$\int\limits_{0}^{\frac{\pi}{2}} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} + 1}\, dx$$ 
Integral(sqrt(1 + tan(x/2)^2), (x, 0, pi/2))
The answer [src] 
 pi                     
 --                     
 2                      
  /                     
 |                      
 |      _____________   
 |     /        2/x\    
 |    /  1 + tan |-|  dx
 |  \/           \2/    
 |                      
/                       
0
$$\int\limits_{0}^{\frac{\pi}{2}} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} + 1}\, dx$$ 
=
= 
 pi                     
 --                     
 2                      
  /                     
 |                      
 |      _____________   
 |     /        2/x\    
 |    /  1 + tan |-|  dx
 |  \/           \2/    
 |                      
/                       
0
$$\int\limits_{0}^{\frac{\pi}{2}} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} + 1}\, dx$$ 
Integral(sqrt(1 + tan(x/2)^2), (x, 0, pi/2))
Numerical answer [src] 
1.76274717403909
1.76274717403909

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

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