**Find the area enclosed by the curve , the x-axis, the line x=1/2 and x=2.**
For signed areas, do I take the absolute value of sections with negative areas or do I add all of the areas up as they are? For this particular question I get a final answer of

by adding the areas as they are but the answer in the textbook is

(and this is found by taking the absolute of the negative area between [1/2, 1] ) I'd like to be clarified on which method to use ...From what I understand, signed areas

*do not* take absolute values of negative areas. What am I doing wrong?