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Integral of e^-0.02*x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1         
  /         
 |          
 |    x     
 |  ----- dx
 |  50___   
 |  \/ E    
 |          
/           
0           
$$\int\limits_{0}^{1} \frac{x}{e^{\frac{1}{50}}}\, dx$$
Integral(x/E^(1/50), (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  -1/50
 |   x            x *e     
 | ----- dx = C + ---------
 | 50___              2    
 | \/ E                    
 |                         
/                          
$$\int \frac{x}{e^{\frac{1}{50}}}\, dx = C + \frac{x^{2}}{2 e^{\frac{1}{50}}}$$
The graph
The answer [src]
 -1/50
e     
------
  2   
$$\frac{1}{2 e^{\frac{1}{50}}}$$
=
=
 -1/50
e     
------
  2   
$$\frac{1}{2 e^{\frac{1}{50}}}$$
exp(-1/50)/2
Numerical answer [src]
0.490099336653378
0.490099336653378

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