Examine the following integrals. Consider the multiple tools available for evaluating integrals and use the best strategy for each part. Evaluate each integral and briefly describe your method.

1. $\int _ { - 5 } ^ { - 2 } \large\frac { 3 m ^ { 3 } + 2 m ^ { 2 } - 9 m } { m } d m$

   Hint (a):

   Before you integrate, simplify the integrand.

2. $\int _ { - 1 } ^ { 2 } t ( 2 t + 3 ) d t$

   Hint (b):

   Before you integrate, distribute the $t$ in the integrand.

3. $\int _ { - 4 } ^ { - 1 } ( 1 + \frac { 1 } { x } ) ^ { 2 } d x$

   Hint (c):

   Before you integrate, expand the integrand.

4. $\int _ { 2 } ^ { 3 } ( a x + b ) d x$

   Partial Answer (d):

   $\frac { a x ^ { 2 } } { 2 } + b x | _ { 2 } ^ { 3 } = ?$