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Integral of arctg(x/(x+2)) dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
 oo               
  /               
 |                
 |      /  x  \   
 |  atan|-----| dx
 |      \x + 2/   
 |                
/                 
1                 
$$\int\limits_{1}^{\infty} \operatorname{atan}{\left(\frac{x}{x + 2} \right)}\, dx$$
Integral(atan(x/(x + 2)), (x, 1, oo))
The answer (Indefinite) [src]
  /                                                                    
 |                         /     2      \                              
 |     /  x  \          log\2 + x  + 2*x/         /  x  \              
 | atan|-----| dx = C - ----------------- + x*atan|-----| + atan(1 + x)
 |     \x + 2/                  2                 \x + 2/              
 |                                                                     
/                                                                      
$$\int \operatorname{atan}{\left(\frac{x}{x + 2} \right)}\, dx = C + x \operatorname{atan}{\left(\frac{x}{x + 2} \right)} - \frac{\log{\left(x^{2} + 2 x + 2 \right)}}{2} + \operatorname{atan}{\left(x + 1 \right)}$$
The graph
The answer [src]
oo
$$\infty$$
=
=
oo
$$\infty$$
oo

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