Question

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

Answer 1

Answer:

Area = 1

Step-by-step explanation:

Given that f(x) is a funciton as

$f(x) = \frac{1}{(x-1)^2}$

We have to find the area of the curve of the function above x axis between -infty and 0

Hence area required would be

$\int\limits^0_{-\infty} {\frac{1}{(x-1)^2} } \, dx$

Using power rule we get

integrate value is = (x-1)^(-1)

Substitute limits

For -infty this value is 0, but for x =0 this is -1

Hence area = 0-(-1) = 1