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Solving integrals/ e^-x

Integral of e^-x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

  1. Let .

    Then let and substitute :

    1. The integral of a constant times a function is the constant times the integral of the function:

      1. The integral of the exponential function is itself.

      So, the result is:

    Now substitute back in:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                
 |                 
 |  -x           -x
 | E   dx = C - e  
 |                 
/
$$\int e^{- x}\, dx = C - e^{- x}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
     -1
1 - e
$$1 - e^{-1}$$ 
=
= 
     -1
1 - e
$$1 - e^{-1}$$ 
1 - exp(-1)
Numerical answer [src] 
0.632120558828558
0.632120558828558
The graph
Integral of e^-x dx

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

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