Strategy: Split the integral at points where the function definition changes or where the expression inside |...| changes sign.

Example 1: integral(-2 to 3) |x| dx = integral(-2 to 0) (-x) dx + integral(0 to 3) x dx = 2 + 9/2 = 13/2.

Example 2: integral(0 to 2) |$x^2$ - 1| dx. $x^{2-1}$ = 0 at x = 1. = integral(0 to 1) (1-$x^2$) dx + integral(1 to 2) ($x^{2-1}$) dx = [x-$x^3$/3] from 0 to 1 + [$x^3$/3-x] from 1 to 2 = 2/3 + 4/3 = 2.

Key: Always find the zeros of the expression inside |...| within the given interval, then split accordingly.