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

Essay

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