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Solving integrals/ sqrt(1-tgx^2)

Integral of sqrt(1-tgx^2) dx

Limits of integration:

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Piecewise:

The solution

You have entered [src] 
 pi                    
 --                    
 3                     
  /                    
 |                     
 |     _____________   
 |    /        2       
 |  \/  1 - tan (x)  dx
 |                     
/                      
0
$$\int\limits_{0}^{\frac{\pi}{3}} \sqrt{1 - \tan^{2}{\left(x \right)}}\, dx$$ 
Integral(sqrt(1 - tan(x)^2), (x, 0, pi/3))
The answer [src] 
 pi                    
 --                    
 3                     
  /                    
 |                     
 |     _____________   
 |    /        2       
 |  \/  1 - tan (x)  dx
 |                     
/                      
0
$$\int\limits_{0}^{\frac{\pi}{3}} \sqrt{1 - \tan^{2}{\left(x \right)}}\, dx$$ 
=
= 
 pi                    
 --                    
 3                     
  /                    
 |                     
 |     _____________   
 |    /        2       
 |  \/  1 - tan (x)  dx
 |                     
/                      
0
$$\int\limits_{0}^{\frac{\pi}{3}} \sqrt{1 - \tan^{2}{\left(x \right)}}\, dx$$ 
Integral(sqrt(1 - tan(x)^2), (x, 0, pi/3))
Numerical answer [src] 
(0.650292299815914 + 0.214948408969599j)
(0.650292299815914 + 0.214948408969599j)

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

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