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Solving integrals/ (sqrt(x)exp(x^(-1)))

Integral of (sqrt(x)exp(x^(-1))) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 oo            
  /            
 |             
 |         1   
 |         -   
 |    ___  x   
 |  \/ x *e  dx
 |             
/              
0
$$\int\limits_{0}^{\infty} \sqrt{x} e^{\frac{1}{x}}\, dx$$ 
Integral(sqrt(x)*exp(1/x), (x, 0, oo))
The answer (Indefinite) [src] 
  /                                                                
 |                           1            1         ____    /  I  \
 |        1                  -            -   4*I*\/ pi *erf|-----|
 |        -             3/2  x       ___  x                 |  ___|
 |   ___  x          2*x   *e    4*\/ x *e                  \\/ x /
 | \/ x *e  dx = C + --------- + ---------- + ---------------------
 |                       3           3                  3          
/
$$\int \sqrt{x} e^{\frac{1}{x}}\, dx = C + \frac{2 x^{\frac{3}{2}} e^{\frac{1}{x}}}{3} + \frac{4 \sqrt{x} e^{\frac{1}{x}}}{3} + \frac{4 i \sqrt{\pi} \operatorname{erf}{\left(\frac{i}{\sqrt{x}} \right)}}{3}$$
Simplify
The answer [src] 
oo
$$\infty$$ 
=
= 
oo
$$\infty$$ 
oo

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

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