2. When looking at the exact area column in the table in part 1, do you notice a pattern ? Based on this pattern , write a general formula for the area of the region in terms of n, and call it A(m ). Write a brief explanation of how you came up with the general formula . 3. In part 2, you came up with the general formula for A( x ) by noticing a pattern . Now, come up with that same general formula (hopefully ) by evaluating the definite integral that represents the area of the region for general a. Show all steps (your final formula should be in terms of a only after using the Evaluation Theorem ). Follow the same procedure that you did to fill out the exact value column in the table in Part 1, except keep a as an a, rather than it being a number. Did you get the same formula as in part 2