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Integral of d{x}:
Integral of e^(x-y)
Integral of Sin^5*x/2*cos*x/2
Integral of y^2dx
Integral of xy
The double integral of:
e^(x-y)
e^(x-y)
Identical expressions
e^(x-y)
e to the power of (x minus y)
e(x-y)
ex-y
e^x-y
e^(x-y)dx
Similar expressions
e^(x+y)

Solving integrals/ e^(x-y)

Integral of e^(x-y) dx

The solution

You have entered [src]

  1          
  /          
 |           
 |   x - y   
 |  e      dx
 |           
/            
0

$$\int\limits_{0}^{1} e^{x - y}\, dx$$

Simplify

Detail solution

Rewrite the integrand:

$e^{x - y} = e^{x} e^{- y}$
The integral of a constant times a function is the constant times the integral of the function:

$\int e^{x} e^{- y}\, dx = e^{- y} \int e^{x}\, dx$
1. The integral of the exponential function is itself.
  
  $\int e^{x}\, dx = e^{x}$
So, the result is: $e^{x} e^{- y}$
Now simplify:

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

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

The answer is:

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

The answer (Indefinite) [src]

  /                      
 |                       
 |  x - y           x  -y
 | e      dx = C + e *e  
 |                       
/

$$e^{x-y}$$

Simplify

The answer [src]

   -y    1 - y
- e   + e

$$e^{1-y}-e^ {- y }$$

=

   -y    1 - y
- e   + e

$$e^{- y + 1} - e^{- y}$$

Simplify

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