Determine Whether Each Integral Is Convergent or Divergent $\int _ { - \infty } ^ { 2 } \frac { 1 } { x ^ { 2 } + 4 } d x$

Essay

Determine whether each integral is convergent or divergent. Evaluate those that are convergent.(a) $\int _ { - \infty } ^ { 2 } \frac { 1 } { x ^ { 2 } + 4 } d x$ (b) $\int _ { 1 } ^ { \infty } \frac { 1 } { x ^ { 1.0001 } } d x$ (c) $\int _ { 1 } ^ { \infty } \frac { 1 } { x ^ { 09999 } } d x$