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Solving integrals/ -e^x

Integral of -e^x dx

Limits of integration:

from to
v

The graph:

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Piecewise:

The solution

You have entered [src] 
  1       
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 |    x   
 |  -E  dx
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0
∫01(−ex) dx\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:

    ∫(−ex) dx=−∫ex dx\int \left(- e^{x}\right)\, dx = - \int e^{x}\, dx

    1. The integral of the exponential function is itself.

      ∫ex dx=ex\int e^{x}\, dx = e^{x}

    So, the result is: −ex- e^{x}

  2. Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src] 
  /               
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 |   x           x
 | -E  dx = C - e 
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∫(−ex) dx=C−ex\int \left(- e^{x}\right)\, dx = C - e^{x}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.900-4
Plot the graph f(x)
The answer [src] 
1 - E
1−e1 - e 
=
= 
1 - E
1−e1 - e 
1 - E
Numerical answer [src] 
-1.71828182845905
-1.71828182845905
The graph
Integral of -e^x dx

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

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