Mister Exam

Integral of 3e^(3x) dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
  1          
  /          
 |           
 |     3*x   
 |  3*e    dx
 |           
/            
0            
$$\int\limits_{0}^{1} 3 e^{3 x}\, dx$$
Detail solution
  1. The integral of a constant times a function is the constant times the integral of the function:

    1. Don't know the steps in finding this integral.

      But the integral is

    So, the result is:

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                    
 |                     
 |    3*x           3*x
 | 3*e    dx = C + e   
 |                     
/                      
$$e^{3\,x}$$
The graph
The answer [src]
      3
-1 + e 
$$3\,\left({{e^3}\over{3}}-{{1}\over{3}}\right)$$
=
=
      3
-1 + e 
$$-1 + e^{3}$$
Numerical answer [src]
19.0855369231877
19.0855369231877
The graph
Integral of 3e^(3x) dx

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