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Integral of d{x}:
Integral of x/(1+x²)
Integral of 1/(2-x)
Integral of e^(-x)*dx
Integral of 1/(3x+1)
Identical expressions
e^(-x)*dx
e to the power of ( minus x) multiply by dx
e(-x)*dx
e-x*dx
e^(-x)dx
e(-x)dx
e-xdx
e^-xdx
Similar expressions
e^(x)*dx

Solving integrals/ e^(-x)*dx

Integral of e^(-x)*dx dx

The solution

You have entered [src]

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

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

Integral(1/E^(1*x), (x, 0, 1))

Detail solution

Let $u = e^{- x}$ .

Then let $du = - e^{- x} dx$ and substitute $- du$ :

$\int 1\, du$
1. The integral of a constant times a function is the constant times the integral of the function:
  
  $\int \left(-1\right)\, du = - \int 1\, du$
  1. The integral of a constant is the constant times the variable of integration:
    
    $\int 1\, du = u$
  So, the result is: $- u$
Now substitute $u$ back in:

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

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

The answer is:

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

The answer (Indefinite) [src]

  /                  
 |                   
 |  -x             -x
 | e  *1 dx = C - e  
 |                   
/

$$\int e^{- x} 1\, dx = C - e^{- x}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

     -1
1 - e

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

=

     -1
1 - e

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

Упростить

Numerical answer [src]

0.632120558828558

0.632120558828558

The graph

Integral of e^(-x)*dx dx

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