AP

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

Problem

Evaluate

\displaystyle I=\int_{0}^{4} \frac{1}{|x-2|^{2/3}}\,dx

. (a)

6\cdot 2^{2/3}

(b)

3\cdot 2^{1/3}

(c)

6\cdot 2^{1/3}

(d) Divergent because the integrand is unbounded at

x=2