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Solving integrals/ e^(-x)/x

Integral of e^(-x)/x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

    EiRule(a=-1, b=0, context=E**(-x)/x, symbol=x)

  1. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                   
 |                    
 |  -x                
 | E                  
 | --- dx = C + Ei(-x)
 |  x                 
 |                    
/
$$\int \frac{e^{- x}}{x}\, dx = C + \operatorname{Ei}{\left(- x \right)}$$
Simplify
The answer [src] 
       / pi*I\
oo + Ei\e    /
$$\infty + \operatorname{Ei}{\left(e^{i \pi} \right)}$$ 
=
= 
       / pi*I\
oo + Ei\e    /
$$\infty + \operatorname{Ei}{\left(e^{i \pi} \right)}$$ 
oo + Ei(exp_polar(pi*i))
Numerical answer [src] 
43.2938465346958
43.2938465346958

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

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