Mister Exam

Other calculators


2e^(2x)

Integral of 2e^(2x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1          
  /          
 |           
 |     2*x   
 |  2*e    dx
 |           
/            
0            
$$\int\limits_{0}^{1} 2 e^{2 x}\, dx$$
Integral(2*E^(2*x), (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]
  /                    
 |                     
 |    2*x           2*x
 | 2*e    dx = C + e   
 |                     
/                      
$$e^{2\,x}$$
The graph
The answer [src]
      2
-1 + e 
$$2\,\left({{e^2}\over{2}}-{{1}\over{2}}\right)$$
=
=
      2
-1 + e 
$$-1 + e^{2}$$
Numerical answer [src]
6.38905609893065
6.38905609893065
The graph
Integral of 2e^(2x) dx

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