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e^(-1/x)
Solving integrals/ e^(-1/x)

Integral of e^(-1/x) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1        
  /        
 |         
 |   -1    
 |   ---   
 |    x    
 |  E    dx
 |         
/          
0
$$\int\limits_{0}^{1} e^{- \frac{1}{x}}\, dx$$ 
Integral(E^(-1/x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                
 |                                 
 |  -1              -1             
 |  ---             ---     / pi*I\
 |   x               x      |e    |
 | E    dx = C + x*e    + Ei|-----|
 |                          \  x  /
/
$$\int e^{- \frac{1}{x}}\, dx = C + x e^{- \frac{1}{x}} + \operatorname{Ei}{\left(\frac{e^{i \pi}}{x} \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
  / pi*I\    -1
Ei\e    / + e
$$e^{-1} + \operatorname{Ei}{\left(e^{i \pi} \right)}$$ 
=
= 
  / pi*I\    -1
Ei\e    / + e
$$e^{-1} + \operatorname{Ei}{\left(e^{i \pi} \right)}$$ 
Ei(exp_polar(pi*i)) + exp(-1)
Numerical answer [src] 
0.148495506775922
0.148495506775922
The graph
Integral of e^(-1/x) dx

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

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