Mister Exam

Other calculators

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1            
  /            
 |             
 |       3*x   
 |  3*x*E    dx
 |             
/              
0              
$$\int\limits_{0}^{1} e^{3 x} 3 x\, dx$$
Integral((3*x)*E^(3*x), (x, 0, 1))
The answer (Indefinite) [src]
  /                                 
 |                               3*x
 |      3*x          (-1 + 3*x)*e   
 | 3*x*E    dx = C + ---------------
 |                          3       
/                                   
$$\int e^{3 x} 3 x\, dx = C + \frac{\left(3 x - 1\right) e^{3 x}}{3}$$
The graph
The answer [src]
       3
1   2*e 
- + ----
3    3  
$$\frac{1}{3} + \frac{2 e^{3}}{3}$$
=
=
       3
1   2*e 
- + ----
3    3  
$$\frac{1}{3} + \frac{2 e^{3}}{3}$$
1/3 + 2*exp(3)/3
Numerical answer [src]
13.7236912821251
13.7236912821251

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