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Integral of arctg(a*tg(x))/tg(x) dx

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The solution

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 pi                  
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 2                   
  /                  
 |                   
 |  atan(a*tan(x))   
 |  -------------- dx
 |      tan(x)       
 |                   
/                    
0                    
$$\int\limits_{0}^{\frac{\pi}{2}} \frac{\operatorname{atan}{\left(a \tan{\left(x \right)} \right)}}{\tan{\left(x \right)}}\, dx$$
Integral(atan(a*tan(x))/tan(x), (x, 0, pi/2))

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