Question

Find the area between the graph of the given function and the x-axis over the given interval, if possible.

Answer 1

Answer:

Not possible to find out area

Step-by-step explanation:

Given is an exponential function as

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

Using integrals, we find area =

$\int\limits^e_{-\infty} e^{-x} \, dx\\=-e^{-x}$

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.