Mister Exam

Other calculators

Integral of 1/(x^3+2x^2+x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1                   
  /                   
 |                    
 |          1         
 |  1*------------- dx
 |     3      2       
 |    x  + 2*x  + x   
 |                    
/                     
0                     
$$\int\limits_{0}^{1} 1 \cdot \frac{1}{x^{3} + 2 x^{2} + x}\, dx$$
Integral(1/(x^3 + 2*x^2 + x), (x, 0, 1))
The answer (Indefinite) [src]
  /                                                    
 |                                                     
 |         1                  1                        
 | 1*------------- dx = C + ----- - log(1 + x) + log(x)
 |    3      2              1 + x                      
 |   x  + 2*x  + x                                     
 |                                                     
/                                                      
$$\int 1 \cdot \frac{1}{x^{3} + 2 x^{2} + x}\, dx = C + \log{\left(x \right)} - \log{\left(x + 1 \right)} + \frac{1}{x + 1}$$
The answer [src]
oo
$$\infty$$
=
=
oo
$$\infty$$
Numerical answer [src]
42.8972989534329
42.8972989534329

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