Mister Exam

Integral of xe^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1        
  /        
 |         
 |     2   
 |  x*e  dx
 |         
/          
0          
$$\int\limits_{0}^{1} x e^{2}\, dx$$
Integral(x*E^2, (x, 0, 1))
Detail solution
  1. The integral of a constant times a function is the constant times the integral of the function:

    1. The integral of is when :

    So, the result is:

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                   
 |                2  2
 |    2          x *e 
 | x*e  dx = C + -----
 |                 2  
/                     
$${{e^2\,x^2}\over{2}}$$
The graph
The answer [src]
 2
e 
--
2 
$${{e^2}\over{2}}$$
=
=
 2
e 
--
2 
$$\frac{e^{2}}{2}$$
Numerical answer [src]
3.69452804946533
3.69452804946533
The graph
Integral of xe^2 dx

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