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e^(-x)*dx
Solving integrals/ e^(-x)*dx

Integral of e^(-x)*dx dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1         
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 |   -x     
 |  e  *1 dx
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0
∫01e−x1 dx\int\limits_{0}^{1} e^{- x} 1\, dx 
Integral(1/E^(1*x), (x, 0, 1))
Detail solution

  1. Let u=e−xu = e^{- x}.

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

    ∫1 du\int 1\, du

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

      ∫(−1) du=−∫1 du\int \left(-1\right)\, du = - \int 1\, du

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

        ∫1 du=u\int 1\, du = u

      So, the result is: −u- u

    Now substitute uu back in:

    −e−x- e^{- x}

  2. Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src] 
  /                  
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 |  -x             -x
 | e  *1 dx = C - e  
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∫e−x1 dx=C−e−x\int e^{- x} 1\, dx = C - e^{- x}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.902-2
Plot the graph f(x)
The answer [src] 
     -1
1 - e
1−e−11-e^ {- 1 } 
=
= 
     -1
1 - e
1−e−11 - 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.

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