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Identical expressions
e^x/x^ two - two *e^x/x^ three
e to the power of x divide by x squared minus 2 multiply by e to the power of x divide by x cubed
e to the power of x divide by x to the power of two minus two multiply by e to the power of x divide by x to the power of three
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e^x/x^2-2e^x/x^3
ex/x2-2ex/x3
e^x divide by x^2-2*e^x divide by x^3
e^x/x^2-2*e^x/x^3dx
Similar expressions
e^x/x^2+2*e^x/x^3
(e^x)/(x^2)-(2*e^x)/(x^3)
What you mean?
e^x/x^2 - 2*e^x/x^3
e^((x/x)^2) - 2*e^((x/x)^3)
e^((x/x)^2) - 2*e^((x/x)^3)

You entered:

e^x/x^2-2*e^x/x^3

What you mean?

e^x/x^2 - 2*e^x/x^3

e^((x/x)^2) - 2*e^((x/x)^3)

e^((x/x)^2) - 2*e^((x/x)^3)

Integral of e^x/x^2-2*e^x/x^3 dx

The solution

You have entered [src]

   2               
   /               
  |                
  |  / x      x\   
  |  |E    2*E |   
  |  |-- - ----| dx
  |  | 2     3 |   
  |  \x     x  /   
  |                
 /                 
-3/2

$$\int\limits_{- \frac{3}{2}}^{2} \left(\frac{e^{x}}{x^{2}} - \frac{2 e^{x}}{x^{3}}\right)\, dx$$

Integral(E^x/x^2 - 2*E^x/x^3, (x, -3/2, 2))

Detail solution

Integrate term-by-term:
1. Don't know the steps in finding this integral.
  
  But the integral is
  
  $\operatorname{Ei}{\left(x \right)} - \frac{e^{x}}{x}$
1. The integral of a constant times a function is the constant times the integral of the function:
  
  $\int \left(- \frac{2 e^{x}}{x^{3}}\right)\, dx = - \int \frac{2 e^{x}}{x^{3}}\, dx$
  1. The integral of a constant times a function is the constant times the integral of the function:
    
    $\int \frac{2 e^{x}}{x^{3}}\, dx = 2 \int \frac{e^{x}}{x^{3}}\, dx$
    1. Don't know the steps in finding this integral.
      
      But the integral is
      
      $\frac{\operatorname{Ei}{\left(x \right)}}{2} - \frac{e^{x}}{2 x} - \frac{e^{x}}{2 x^{2}}$
    So, the result is: $\operatorname{Ei}{\left(x \right)} - \frac{e^{x}}{x} - \frac{e^{x}}{x^{2}}$
  So, the result is: $- \operatorname{Ei}{\left(x \right)} + \frac{e^{x}}{x} + \frac{e^{x}}{x^{2}}$
The result is: $\frac{e^{x}}{x^{2}}$
Add the constant of integration:

$\frac{e^{x}}{x^{2}}+ \mathrm{constant}$

The answer is:

$\frac{e^{x}}{x^{2}}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                       
 |                        
 | / x      x\           x
 | |E    2*E |          e 
 | |-- - ----| dx = C + --
 | | 2     3 |           2
 | \x     x  /          x 
 |                        
/

$$\int \left(\frac{e^{x}}{x^{2}} - \frac{2 e^{x}}{x^{3}}\right)\, dx = C + \frac{e^{x}}{x^{2}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

nan

$$\text{NaN}$$

nan

$$\text{NaN}$$

nan

Numerical answer [src]

346617.144056843

346617.144056843

The graph

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

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You entered:

What you mean?

Integral of e^x/x^2-2*e^x/x^3 dx

Limits of integration:

The graph:

Piecewise:

The solution