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x*exp^(2x)
Solving integrals/ x*exp^(2x)

Integral of x*exp^(2x) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1          
  /          
 |           
 |     2*x   
 |  x*E    dx
 |           
/            
0
∫01e2xx dx\int\limits_{0}^{1} e^{2 x} x\, dx 
Integral(x*E^(2*x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                               
 |                             2*x
 |    2*x          (-1 + 2*x)*e   
 | x*E    dx = C + ---------------
 |                        4       
/
∫e2xx dx=C+(2x−1)e2x4\int e^{2 x} x\, dx = C + \frac{\left(2 x - 1\right) e^{2 x}}{4}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90-1010
Plot the graph f(x)
The answer [src] 
     2
1   e 
- + --
4   4
14+e24\frac{1}{4} + \frac{e^{2}}{4} 
=
= 
     2
1   e 
- + --
4   4
14+e24\frac{1}{4} + \frac{e^{2}}{4} 
1/4 + exp(2)/4
Numerical answer [src] 
2.09726402473266
2.09726402473266
The graph
Integral of x*exp^(2x) dx

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

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