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  • Integral of (1+2x^2)/(x^2(1+x^2)) Integral of (1+2x^2)/(x^2(1+x^2))

  • Identical expressions

  • exp^x*(one -exp^(-x/x^ two))
  • exponent of to the power of x multiply by (1 minus exponent of to the power of ( minus x divide by x squared ))
  • exponent of to the power of x multiply by (one minus exponent of to the power of ( minus x divide by x to the power of two))
  • expx*(1-exp(-x/x2))
  • expx*1-exp-x/x2
  • exp^x*(1-exp^(-x/x²))
  • exp to the power of x*(1-exp to the power of (-x/x to the power of 2))
  • exp^x(1-exp^(-x/x^2))
  • expx(1-exp(-x/x2))
  • expx1-exp-x/x2
  • exp^x1-exp^-x/x^2
  • exp^x*(1-exp^(-x divide by x^2))
  • exp^x*(1-exp^(-x/x^2))dx

  • Similar expressions

  • exp^x*(1-exp^(x/x^2))
  • exp^x*(1+exp^(-x/x^2))
Solving integrals/ exp^x*(1-exp^(-x/x^2))

Integral of exp^x*(1-exp^(-x/x^2)) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                 
  /                 
 |                  
 |     /     -x \   
 |     |     ---|   
 |     |       2|   
 |   x |      x |   
 |  E *\1 - E   / dx
 |                  
/                   
0
$$\int\limits_{0}^{1} e^{x} \left(1 - e^{\frac{\left(-1\right) x}{x^{2}}}\right)\, dx$$ 
Integral(E^x*(1 - E^((-x)/x^2)), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                         
 |                          /               
 |    /     -x \           |                
 |    |     ---|           |     -1         
 |    |       2|           |     ---        
 |  x |      x |           |  x   x        x
 | E *\1 - E   / dx = C -  | e *e    dx + e 
 |                         |                
/                         /
$$\int e^{x} \left(1 - e^{\frac{\left(-1\right) x}{x^{2}}}\right)\, dx = C + e^{x} - \int e^{- \frac{1}{x}} e^{x}\, dx$$
Simplify
The answer [src] 
  1                     
  /                     
 |                      
 |  /      1\     -1    
 |  |      -|     ---   
 |  |      x|  x   x    
 |  \-1 + e /*e *e    dx
 |                      
/                       
0
$$\int\limits_{0}^{1} \left(e^{\frac{1}{x}} - 1\right) e^{- \frac{1}{x}} e^{x}\, dx$$ 
=
= 
  1                     
  /                     
 |                      
 |  /      1\     -1    
 |  |      -|     ---   
 |  |      x|  x   x    
 |  \-1 + e /*e *e    dx
 |                      
/                       
0
$$\int\limits_{0}^{1} \left(e^{\frac{1}{x}} - 1\right) e^{- \frac{1}{x}} e^{x}\, dx$$ 
Integral((-1 + exp(1/x))*exp(x)*exp(-1/x), (x, 0, 1))
Numerical answer [src] 
1.40234206746347
1.40234206746347

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

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