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xe^3
Solving integrals/ xe^3

Integral of xe^3 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1        
  /        
 |         
 |     3   
 |  x*e  dx
 |         
/          
0
$$\int\limits_{0}^{1} x e^{3}\, dx$$ 
Integral(x*E^3, (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  3
 |    3          x *e 
 | x*e  dx = C + -----
 |                 2  
/
$${{e^3\,x^2}\over{2}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
 3
e 
--
2
$${{e^3}\over{2}}$$ 
=
= 
 3
e 
--
2
$$\frac{e^{3}}{2}$$
Simplify
Numerical answer [src] 
10.0427684615938
10.0427684615938
The graph
Integral of xe^3 dx

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

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