Question

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

f(x)=1/x-1, for [-[infinity], 0]

Answer 1

Cannot find the area of the region between the graph of the given function and the x axis.

Explanation:

The function given is

`f(x) = (1)/(x-1)`

This is undefined only for x =1

Hence for the integral limits -infty to 0 the domain exists.

The integral of f(x) would be ln |x-1|

When we substitute infinity we get ln (infty) which is undefined

Hence this integral diverges

Cannot find the area of the region between the graph of the given function and the x axis.