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xe^4
Solving integrals/ xe^4

Integral of xe^4 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1        
  /        
 |         
 |     4   
 |  x*E  dx
 |         
/          
0
$$\int\limits_{0}^{1} e^{4} x\, dx$$ 
Integral(x*E^4, (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  4
 |    4          x *e 
 | x*E  dx = C + -----
 |                 2  
/
$$\int e^{4} x\, dx = C + \frac{x^{2} e^{4}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
 4
e 
--
2
$$\frac{e^{4}}{2}$$ 
=
= 
 4
e 
--
2
$$\frac{e^{4}}{2}$$ 
exp(4)/2
Numerical answer [src] 
27.2990750165721
27.2990750165721
The graph
Integral of xe^4 dx

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

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