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Integral of (x-atan(x))/x^2 dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src]
  0               
  /               
 |                
 |  x - atan(x)   
 |  ----------- dx
 |        2       
 |       x        
 |                
/                 
0                 
00xatan(x)x2dx\int\limits_{0}^{0} \frac{x - \operatorname{atan}{\left(x \right)}}{x^{2}}\, dx
Integral((x - atan(x))/x^2, (x, 0, 0))
The answer (Indefinite) [src]
                           /    1 \                   
  /                     log|1 + --|                   
 |                         |     2|                   
 | x - atan(x)             \    x /   atan(x)         
 | ----------- dx = C + ----------- + ------- + log(x)
 |       2                   2           x            
 |      x                                             
 |                                                    
/                                                     
xatan(x)x2dx=C+log(x)+log(1+1x2)2+atan(x)x\int \frac{x - \operatorname{atan}{\left(x \right)}}{x^{2}}\, dx = C + \log{\left(x \right)} + \frac{\log{\left(1 + \frac{1}{x^{2}} \right)}}{2} + \frac{\operatorname{atan}{\left(x \right)}}{x}
The graph
-0.010-0.008-0.006-0.004-0.0020.0100.0000.0020.0040.0060.0080.00
The answer [src]
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Numerical answer [src]
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    Use the examples entering the upper and lower limits of integration.