Consider the region bounded above by the graph of and below by the -axis on the interval

MATHEMATICS · Subjective · AP · Calculus BC · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Consider the region bounded above by the graph of

y=\dfrac{1}{(x-2)^{2}}

and below by the

x

-axis on the interval

1\le x\le 3

. Determine whether this region has a finite area. If it does, state its exact value.