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xe^edx
Solving integrals/ xe^edx

Integral of xe^edx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1        
  /        
 |         
 |     E   
 |  x*E  dx
 |         
/          
0
∫01eex dx\int\limits_{0}^{1} e^{e} x\, dx 
Integral(x*E^E, (x, 0, 1))
Detail solution

  1. The integral of a constant times a function is the constant times the integral of the function:

    ∫eex dx=ee∫x dx\int e^{e} x\, dx = e^{e} \int x\, dx

    1. The integral of xnx^{n} is xn+1n+1\frac{x^{n + 1}}{n + 1} when n≠−1n \neq -1:

      ∫x dx=x22\int x\, dx = \frac{x^{2}}{2}

    So, the result is: x2ee2\frac{x^{2} e^{e}}{2}

  2. Add the constant of integration:

    x2ee2+constant\frac{x^{2} e^{e}}{2}+ \mathrm{constant}

The answer is:

x2ee2+constant\frac{x^{2} e^{e}}{2}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                   
 |                2  E
 |    E          x *e 
 | x*E  dx = C + -----
 |                 2  
/
∫eex dx=C+x2ee2\int e^{e} x\, dx = C + \frac{x^{2} e^{e}}{2}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90020
Plot the graph f(x)
The answer [src] 
 E
e 
--
2
ee2\frac{e^{e}}{2} 
=
= 
 E
e 
--
2
ee2\frac{e^{e}}{2} 
exp(E)/2
Numerical answer [src] 
7.57713112073963
7.57713112073963
The graph
Integral of xe^edx dx

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

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