Question

1. How is area trapped between two curves different than the signed area under a function? 1. There is an essential difference, but they are otherwise the same and quite similar. 2. In the definition of Area of a Region Between Two Curves, the assumption is that g (z) sf(a) on the interval la,b-but what if this is not the case? What can you do? 3. In the remark following example 4, the authors caution you against trying to compute the area with the single integral f(z) - g (z) dr as it will give you the wrong answer. None-the-less, the area can be expressed as a single integral (though not really computed that way) using the absolute value function- how? 4. Example 5 shows that we can compute these areas by accumulating horizontal slices of area, or vertical slices of area, and both methods work. What is the significance of this option when computing areas? Why might it be useful? 5. Restate the idea of integration as an accumulation process in your own words. How do you think this is useful?
can you explain this quetions for me plz

Answer 1

area under traphed between two curves different than the signed area under a function because Area under trapped between two curves is always positive but some times the signed area under a function goes negative. afla glu) how) f(x) - gowl da ака = how da is negative