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x*exp(x)

Integral of x*exp(x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1        
  /        
 |         
 |     x   
 |  x*e  dx
 |         
/          
0          
$$\int\limits_{0}^{1} x e^{x}\, dx$$
Integral(x*exp(x), (x, 0, 1))
Detail solution
  1. Use integration by parts:

    Let and let .

    Then .

    To find :

    1. The integral of the exponential function is itself.

    Now evaluate the sub-integral.

  2. The integral of the exponential function is itself.

  3. Now simplify:

  4. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                       
 |                        
 |    x           x      x
 | x*e  dx = C - e  + x*e 
 |                        
/                         
$$\int x e^{x}\, dx = C + x e^{x} - e^{x}$$
The graph
The answer [src]
1
$$1$$
=
=
1
$$1$$
1
Numerical answer [src]
1.0
1.0
The graph
Integral of x*exp(x) dx

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