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e^3x
Solving integrals/ e^3x

Integral of e^3x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1        
  /        
 |         
 |   3     
 |  E *x dx
 |         
/          
0
$$\int\limits_{0}^{1} e^{3} x\, dx$$ 
Integral(E^3*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. The integral of is when :

    So, the result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                   
 |                2  3
 |  3            x *e 
 | E *x dx = C + -----
 |                 2  
/
$$\int e^{3} x\, dx = C + \frac{x^{2} e^{3}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
 3
e 
--
2
$$\frac{e^{3}}{2}$$ 
=
= 
 3
e 
--
2
$$\frac{e^{3}}{2}$$ 
exp(3)/2
Numerical answer [src] 
10.0427684615938
10.0427684615938
The graph
Integral of e^3x dx

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

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