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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1            
  /            
 |             
 |  2*x + 3    
 |  -------- dx
 |         2   
 |  (x + 1)    
 |             
/              
0              
$$\int\limits_{0}^{1} \frac{2 x + 3}{\left(x + 1\right)^{2}}\, dx$$
Integral((2*x + 3)/(x + 1)^2, (x, 0, 1))
The answer (Indefinite) [src]
  /                                      
 |                                       
 | 2*x + 3             1                 
 | -------- dx = C - ----- + 2*log(1 + x)
 |        2          1 + x               
 | (x + 1)                               
 |                                       
/                                        
$$\int \frac{2 x + 3}{\left(x + 1\right)^{2}}\, dx = C + 2 \log{\left(x + 1 \right)} - \frac{1}{x + 1}$$
The graph
The answer [src]
1/2 + 2*log(2)
$$\frac{1}{2} + 2 \log{\left(2 \right)}$$
=
=
1/2 + 2*log(2)
$$\frac{1}{2} + 2 \log{\left(2 \right)}$$
1/2 + 2*log(2)
Numerical answer [src]
1.88629436111989
1.88629436111989

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