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(3x+1)/(x+1)^2

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1            
  /            
 |             
 |  3*x + 1    
 |  -------- dx
 |         2   
 |  (x + 1)    
 |             
/              
0              
$$\int\limits_{0}^{1} \frac{3 x + 1}{\left(x + 1\right)^{2}}\, dx$$
Integral((3*x + 1)/((x + 1)^2), (x, 0, 1))
The answer (Indefinite) [src]
  /                                      
 |                                       
 | 3*x + 1             2                 
 | -------- dx = C + ----- + 3*log(1 + x)
 |        2          1 + x               
 | (x + 1)                               
 |                                       
/                                        
$$3\,\log \left(x+1\right)+{{2}\over{x+1}}$$
The graph
The answer [src]
-1 + 3*log(2)
$$3\,\log 2-1$$
=
=
-1 + 3*log(2)
$$-1 + 3 \log{\left(2 \right)}$$
Numerical answer [src]
1.07944154167984
1.07944154167984
The graph
Integral of (3x+1)/(x+1)^2 dx

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