Mathematics

Problem

Evaluate

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

. a)

6\cdot 2^{2/3}

3\cdot 2^{1/3}

6\cdot 2^{1/3}

d) Divergent because the integrand is unbounded at

x=2