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x^2*e^(3*x)
Solving integrals/ x^2*e^(3*x)

Integral of x^2*e^(3*x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1           
  /           
 |            
 |   2  3*x   
 |  x *E    dx
 |            
/             
0
$$\int\limits_{0}^{1} e^{3 x} x^{2}\, dx$$ 
Integral(x^2*E^(3*x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                      
 |                  /             2\  3*x
 |  2  3*x          \2 - 6*x + 9*x /*e   
 | x *E    dx = C + ---------------------
 |                            27         
/
$$\int e^{3 x} x^{2}\, dx = C + \frac{\left(9 x^{2} - 6 x + 2\right) e^{3 x}}{27}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
          3
  2    5*e 
- -- + ----
  27    27
$$- \frac{2}{27} + \frac{5 e^{3}}{27}$$ 
=
= 
          3
  2    5*e 
- -- + ----
  27    27
$$- \frac{2}{27} + \frac{5 e^{3}}{27}$$ 
-2/27 + 5*exp(3)/27
Numerical answer [src] 
3.64546980059031
3.64546980059031
The graph
Integral of x^2*e^(3*x) dx

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

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