Mister Exam

Other calculators

xe^x/(x+1)^2
Solving integrals/ xe^x/(x+1)^2

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1            
  /            
 |             
 |       x     
 |    x*E      
 |  -------- dx
 |         2   
 |  (x + 1)    
 |             
/              
0
$$\int\limits_{0}^{1} \frac{e^{x} x}{\left(x + 1\right)^{2}}\, dx$$ 
Integral((x*E^x)/(x + 1)^2, (x, 0, 1))
The answer (Indefinite) [src] 
  /                       
 |                        
 |      x               x 
 |   x*E               e  
 | -------- dx = C + -----
 |        2          1 + x
 | (x + 1)                
 |                        
/
$$\int \frac{e^{x} x}{\left(x + 1\right)^{2}}\, dx = C + \frac{e^{x}}{x + 1}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
     E
-1 + -
     2
$$-1 + \frac{e}{2}$$ 
=
= 
     E
-1 + -
     2
$$-1 + \frac{e}{2}$$ 
-1 + E/2
Numerical answer [src] 
0.359140914229523
0.359140914229523
The graph
Integral of xe^x/(x+1)^2 dx

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

    © Mister Exam – Calculator