Determine Whether Each Integral Is Convergent or Divergent $\int _ { 0 } ^ { 1 } \frac { 1 } { ( x - 1 ) ^ { 2 } } d x$

Essay

Determine whether each integral is convergent or divergent. Evaluate those that are convergent.(a) $\int _ { 0 } ^ { 1 } \frac { 1 } { ( x - 1 ) ^ { 2 } } d x$ (b) $\int _ { 0 } ^ { 1 } \frac { 1 } { \sqrt { 1 - x } } d x$ (c) $\int _ { 0 } ^ { 4 } \frac { 1 } { ( x - 2 ) ^ { 2 / 3 } } d x$