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Integral of (3x^2+8)/(x^3+4x^2+4x) dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
  1                   
  /                   
 |                    
 |         2          
 |      3*x  + 8      
 |  --------------- dx
 |   3      2         
 |  x  + 4*x  + 4*x   
 |                    
/                     
0                     
$$\int\limits_{0}^{1} \frac{3 x^{2} + 8}{x^{3} + 4 x^{2} + 4 x}\, dx$$
Integral((3*x^2 + 8)/(x^3 + 4*x^2 + 4*x), (x, 0, 1))
The answer (Indefinite) [src]
  /                                                      
 |                                                       
 |        2                                              
 |     3*x  + 8                          10              
 | --------------- dx = C + 2*log(x) + ----- + log(2 + x)
 |  3      2                           2 + x             
 | x  + 4*x  + 4*x                                       
 |                                                       
/                                                        
$$\log \left(x+2\right)+2\,\log x+{{10}\over{x+2}}$$
The answer [src]
oo
$${\it \%a}$$
=
=
oo
$$\infty$$
Numerical answer [src]
86.9196907094273
86.9196907094273

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