Mister Exam

Other calculators


e^(3*x)/3

You entered:

e^(3*x)/3

What you mean?

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1        
  /        
 |         
 |   3*x   
 |  e      
 |  ---- dx
 |   3     
 |         
/          
0          
$$\int\limits_{0}^{1} \frac{e^{3 x}}{3}\, dx$$
Integral(E^(3*x)/3, (x, 0, 1))
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
 | e             e   
 | ---- dx = C + ----
 |  3             9  
 |                   
/                    
$${{e^{3\,x}}\over{9}}$$
The graph
The answer [src]
       3
  1   e 
- - + --
  9   9 
$${{{{e^3}\over{3}}-{{1}\over{3}}}\over{3}}$$
=
=
       3
  1   e 
- - + --
  9   9 
$$- \frac{1}{9} + \frac{e^{3}}{9}$$
Numerical answer [src]
2.12061521368752
2.12061521368752
The graph
Integral of e^(3*x)/3 dx

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