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Integral of sqrt(1+(ctgx)^(2)) dx

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The solution

You have entered [src]
 3*pi                   
 ----                   
  4                     
   /                    
  |                     
  |     _____________   
  |    /        2       
  |  \/  1 + cot (x)  dx
  |                     
 /                      
 pi                     
 --                     
 2                      
$$\int\limits_{\frac{\pi}{2}}^{\frac{3 \pi}{4}} \sqrt{\cot^{2}{\left(x \right)} + 1}\, dx$$
Integral(sqrt(1 + cot(x)^2), (x, pi/2, 3*pi/4))
The answer [src]
 3*pi                   
 ----                   
  4                     
   /                    
  |                     
  |     _____________   
  |    /        2       
  |  \/  1 + cot (x)  dx
  |                     
 /                      
 pi                     
 --                     
 2                      
$$\int\limits_{\frac{\pi}{2}}^{\frac{3 \pi}{4}} \sqrt{\cot^{2}{\left(x \right)} + 1}\, dx$$
=
=
 3*pi                   
 ----                   
  4                     
   /                    
  |                     
  |     _____________   
  |    /        2       
  |  \/  1 + cot (x)  dx
  |                     
 /                      
 pi                     
 --                     
 2                      
$$\int\limits_{\frac{\pi}{2}}^{\frac{3 \pi}{4}} \sqrt{\cot^{2}{\left(x \right)} + 1}\, dx$$
Integral(sqrt(1 + cot(x)^2), (x, pi/2, 3*pi/4))
Numerical answer [src]
0.881373587019543
0.881373587019543

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