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Solving integrals/ 3ex

Integral of 3ex dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

Detail solution

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

    1. The integral of the exponential function is itself.

    So, the result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                  
 |                   
 |    x             x
 | 3*E  dx = C + 3*e 
 |                   
/
$$\int 3 e^{x}\, dx = C + 3 e^{x}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
     -1      
- 3*e   + 3*E
$$- \frac{3}{e} + 3 e$$ 
=
= 
     -1      
- 3*e   + 3*E
$$- \frac{3}{e} + 3 e$$ 
-3*exp(-1) + 3*E
Numerical answer [src] 
7.05120716186281
7.05120716186281

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

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