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Integral of d{x}:
Integral of 2/x^4
Integral of 1/5x
Integral of (1-x^2)/(1+x^2)
Integral of x*dx/(x^2+1)
Derivative of:
e^(x-2)
Identical expressions
e^(x- two)
e to the power of (x minus 2)
e to the power of (x minus two)
e(x-2)
ex-2
e^x-2
e^(x-2)dx
Similar expressions
e^(x+2)

Solving integrals/ e^(x-2)

Integral of e^(x-2) dx

The solution

You have entered [src]

 oo          
  /          
 |           
 |   x - 2   
 |  E      dx
 |           
/            
0

$$\int\limits_{0}^{\infty} e^{x - 2}\, dx$$

Integral(E^(x - 2), (x, 0, oo))

Detail solution

There are multiple ways to do this integral.
Method #1
1. Let $u = x - 2$ .
  
  Then let $du = dx$ and substitute $du$ :
  
  $\int e^{u}\, du$
  1. The integral of the exponential function is itself.
    
    $\int e^{u}\, du = e^{u}$
  Now substitute $u$ back in:
  
  $e^{x - 2}$
Method #2
1. Rewrite the integrand:
  
  $e^{x - 2} = \frac{e^{x}}{e^{2}}$
2. The integral of a constant times a function is the constant times the integral of the function:
  
  $\int \frac{e^{x}}{e^{2}}\, dx = \frac{\int e^{x}\, dx}{e^{2}}$
  1. The integral of the exponential function is itself.
    
    $\int e^{x}\, dx = e^{x}$
  So, the result is: $\frac{e^{x}}{e^{2}}$
Now simplify:

$e^{x - 2}$
Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src]

  /                      
 |                       
 |  x - 2           x - 2
 | E      dx = C + e     
 |                       
/

$$\int e^{x - 2}\, dx = C + e^{x - 2}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

oo

$$\infty$$

=

oo

$$\infty$$

oo

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