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Solving integrals/ arctg(x/(x+1))

Integral of arctg(x/(x+1)) dx

Limits of integration:

from to
v

The graph:

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Piecewise:

The solution

You have entered [src] 
 oo               
  /               
 |                
 |      /  x  \   
 |  atan|-----| dx
 |      \x + 1/   
 |                
/                 
1
$$\int\limits_{1}^{\infty} \operatorname{atan}{\left(\frac{x}{x + 1} \right)}\, dx$$ 
Integral(atan(x/(x + 1)), (x, 1, oo))
The answer (Indefinite) [src] 
  /                                                                        
 |                                         /             2\                
 |     /  x  \          atan(1 + 2*x)   log\1 + 2*x + 2*x /         /  x  \
 | atan|-----| dx = C + ------------- - ------------------- + x*atan|-----|
 |     \x + 1/                2                  4                  \x + 1/
 |                                                                         
/
$$\int \operatorname{atan}{\left(\frac{x}{x + 1} \right)}\, dx = C + x \operatorname{atan}{\left(\frac{x}{x + 1} \right)} - \frac{\log{\left(2 x^{2} + 2 x + 1 \right)}}{4} + \frac{\operatorname{atan}{\left(2 x + 1 \right)}}{2}$$
Simplify
The graph
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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