Mister Exam

Other calculators

Integral of x^2exp^(3)x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1           
  /           
 |            
 |   2  3     
 |  x *E *x dx
 |            
/             
0             
$$\int\limits_{0}^{1} x e^{3} x^{2}\, dx$$
Integral((x^2*E^3)*x, (x, 0, 1))
The answer (Indefinite) [src]
  /                      
 |                   4  3
 |  2  3            x *e 
 | x *E *x dx = C + -----
 |                    4  
/                        
$$\int x e^{3} x^{2}\, dx = C + \frac{x^{4} e^{3}}{4}$$
The graph
The answer [src]
 3
e 
--
4 
$$\frac{e^{3}}{4}$$
=
=
 3
e 
--
4 
$$\frac{e^{3}}{4}$$
exp(3)/4
Numerical answer [src]
5.02138423079692
5.02138423079692

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