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3e^(2x)
Solving integrals/ 3e^(2x)

Integral of 3e^(2x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1          
  /          
 |           
 |     2*x   
 |  3*e    dx
 |           
/            
0
$$\int\limits_{0}^{1} 3 e^{2 x}\, dx$$ 
Integral(3*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          3*e   
 | 3*e    dx = C + ------
 |                   2   
/
$${{3\,e^{2\,x}}\over{2}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
         2
  3   3*e 
- - + ----
  2    2
$$3\,\left({{e^2}\over{2}}-{{1}\over{2}}\right)$$ 
=
= 
         2
  3   3*e 
- - + ----
  2    2
$$- \frac{3}{2} + \frac{3 e^{2}}{2}$$
Simplify
Numerical answer [src] 
9.58358414839597
9.58358414839597
The graph
Integral of 3e^(2x) dx

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

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