### Home > CALC > Chapter 4 > Lesson 4.4.2 > Problem4-135

4-135.

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. $\int _ { 0 } ^ { 5 } ( | x - 2 | + 3 ) d x$

To avoid rewriting the integrand as a piecewise function, you could sketch the graph and geometrically compute the area between $x = 0$ and $x = 5$.

1. $\int ( \frac { 4 } { m ^ { 3 } } - 3 \operatorname { cos } m ) d m$

1. $\int _ { 1 } ^ { 2 } x ^ { x } d x$
1. $\int \pi ^ { 2 } d x$