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

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

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src] 
  1                   
  /                   
 |                    
 |         x          
 |  --------------- dx
 |                2   
 |  / 2          \    
 |  \x  + 2*x + 2/    
 |                    
/                     
0
∫01x(x2+2x+2)2 dx\int\limits_{0}^{1} \frac{x}{\left(x^{2} + 2 x + 2\right)^{2}}\, dx 
Integral(x/((x^2 + 2*x + 2)^2), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                     
 |                                                      
 |        x                 atan(1 + x)       -2 - x    
 | --------------- dx = C - ----------- + --------------
 |               2               2               2      
 | / 2          \                         4 + 2*x  + 4*x
 | \x  + 2*x + 2/                                       
 |                                                      
/
∫x(x2+2x+2)2 dx=C+−x−22x2+4x+4−atan⁡(x+1)2\int \frac{x}{\left(x^{2} + 2 x + 2\right)^{2}}\, dx = C + \frac{- x - 2}{2 x^{2} + 4 x + 4} - \frac{\operatorname{atan}{\left(x + 1 \right)}}{2}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.901-1
Plot the graph f(x)
The answer [src] 
1   atan(2)   pi
- - ------- + --
5      2      8
−atan⁡(2)2+15+π8- \frac{\operatorname{atan}{\left(2 \right)}}{2} + \frac{1}{5} + \frac{\pi}{8} 
=
= 
1   atan(2)   pi
- - ------- + --
5      2      8
−atan⁡(2)2+15+π8- \frac{\operatorname{atan}{\left(2 \right)}}{2} + \frac{1}{5} + \frac{\pi}{8}
Упростить
Numerical answer [src] 
0.0391247228016789
0.0391247228016789
The graph
Integral of x/(x^2+2x+2)^2 dx

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

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