### Home > CALC > Chapter 5 > Lesson 5.3.1 > Problem5-117

5-117.

Examine the integrals below. 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. $\int _ { - 2 } ^ { 1 } ( 3 x + 1 ) ^ { 2 } d x$

Before integrating, expand the integrand.

1. $\int \operatorname { csc } ^ { 2 } ( x ) d x$

1. $\int _ { x } ^ { 0 } \operatorname { sin } ( t ) d t$
1. $\int _ { 0 } ^ { \pi } \operatorname { cot } ( x ) \operatorname { tan } ( x ) d x$