Mister Exam

Other calculators

Solving integrals/ xex

Integral of xex dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1         
  /         
 |          
 |   / x\   
 |   \E /   
 |  x     dx
 |          
/           
0
∫01xex dx\int\limits_{0}^{1} x^{e^{x}}\, dx 
Integral(x^(E^x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                 /        
 |                 |         
 |  / x\           |  / x\   
 |  \E /           |  \e /   
 | x     dx = C +  | x     dx
 |                 |         
/                 /
∫xex dx=C+∫xex dx\int x^{e^{x}}\, dx = C + \int x^{e^{x}}\, dx
Simplify
The answer [src] 
  1         
  /         
 |          
 |   / x\   
 |   \e /   
 |  x     dx
 |          
/           
0
∫01xex dx\int\limits_{0}^{1} x^{e^{x}}\, dx 
=
= 
  1         
  /         
 |          
 |   / x\   
 |   \e /   
 |  x     dx
 |          
/           
0
∫01xex dx\int\limits_{0}^{1} x^{e^{x}}\, dx 
Integral(x^exp(x), (x, 0, 1))
Numerical answer [src] 
0.373679358160973
0.373679358160973

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

    © Mister Exam – Calculator