Consider the integral

MATHEMATICS · Single correct · AP · Calculus BC · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

\displaystyle \int_{0}^{2} \frac{1}{|x-1|^{k}}\,dx

, where

k

is a real parameter. For which values of

k

does this integral converge? (a)

k>1

(b)

k\neq 1

(c)

k<1

(d)

-1<k<1