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e^(3*x)*dx
Solving integrals/ e^(3*x)*dx

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1          
  /          
 |           
 |   3*x     
 |  e   *1 dx
 |           
/            
0
$$\int\limits_{0}^{1} e^{3 x} 1\, dx$$ 
Integral(E^(3*x)*1, (x, 0, 1))
Detail solution

  1. Let .

    Then let and substitute :

    1. The integral of a constant times a function is the constant times the integral of the function:

      1. The integral of a constant is the constant times the variable of integration:

      So, the result is:

    Now substitute back in:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                    
 |                  3*x
 |  3*x            e   
 | e   *1 dx = C + ----
 |                  3  
/
$$\int e^{3 x} 1\, dx = C + \frac{e^{3 x}}{3}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
       3
  1   e 
- - + --
  3   3
$$- \frac{1}{3} + \frac{e^{3}}{3}$$ 
=
= 
       3
  1   e 
- - + --
  3   3
$$- \frac{1}{3} + \frac{e^{3}}{3}$$
Упростить
Numerical answer [src] 
6.36184564106256
6.36184564106256
The graph
Integral of e^(3*x)*dx dx

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

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