### Home > CALC > Chapter 4 > Lesson 4.4.1 > Problem4-123

4-123.

Examine the following integrals. Consider the multiple tools available for evaluating integrals and use the best strategy for each. After evaluating the integral, write a short description of your method.

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

Before you integrate, simplify the integrand.

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

Before you integrate, distribute the t in the integrand.

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

Before you integrate, expand the integrand.

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