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

Essay

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