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Solving integrals/ arctg(x/(x+2))

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 oo               
  /               
 |                
 |      /  x  \   
 |  atan|-----| dx
 |      \x + 2/   
 |                
/                 
1
∫1∞atan⁡(xx+2) dx\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/              
 |                                                                     
/
∫atan⁡(xx+2) dx=C+xatan⁡(xx+2)−log⁡(x2+2x+2)2+atan⁡(x+1)\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)}
Simplify
The graph
1.00001.01001.00101.00201.00301.00401.00501.00601.00701.00801.00900.5-0.5
Plot the graph f(x)
The answer [src] 
oo
∞\infty 
=
= 
oo
∞\infty 
oo

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

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