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Solving integrals/ exp^x-exp^y

Integral of exp^x-exp^y dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1             
  /             
 |              
 |  / x    y\   
 |  \E  - E / dx
 |              
/               
0
$$\int\limits_{0}^{1} \left(e^{x} - e^{y}\right)\, dx$$ 
Integral(E^x - E^y, (x, 0, 1))
Detail solution

  1. Integrate term-by-term:

    1. The integral of the exponential function is itself.

    1. The integral of a constant is the constant times the variable of integration:

    The result is:

  2. Now simplify:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                            
 |                             
 | / x    y\           x      y
 | \E  - E / dx = C + E  - x*e 
 |                             
/
$$\int \left(e^{x} - e^{y}\right)\, dx = e^{x} + C - x e^{y}$$
Simplify
The answer [src] 
          y
-1 + E - e
$$- e^{y} - 1 + e$$ 
=
= 
          y
-1 + E - e
$$- e^{y} - 1 + e$$ 
-1 + E - exp(y)

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

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