jwertheim8059 jwertheim8059
  • 15-01-2020
  • Mathematics
contestada

Find the area between the graph of the given function and the x-axis over the given interval, if possible.
f(x)=e-x, for [-[infinity], e]

Respuesta :

AlonsoDehner AlonsoDehner
  • 15-01-2020

Answer:

Not possible to find out area

Step-by-step explanation:

Given is an exponential function as

[tex]f(x) =e^{-x}[/tex] and we have to find the area to the left of e above x axis under the curve.

Using integrals, we find area =

[tex]\int\limits^e_{-\infty}  e^{-x}  \, dx\\=-e^{-x}[/tex]

substitute limits

When we substitute -infinity we get e^infty which is again infinity

Hence finding out area is not possible.

The integral of area diverges.

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