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-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          
$$\int\limits_{0}^{1} \left(- e^{- x}\right)\, dx$$
Integral(-E^(-x), (x, 0, 1))
Detail solution
  1. The integral of a constant times a function is the constant times the integral of the function:

    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:

    So, the result is:

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                 
 |                  
 |   -x           -x
 | -E   dx = C + e  
 |                  
/                   
$$\int \left(- e^{- x}\right)\, dx = C + e^{- x}$$
The graph
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.