(15 Points) Suppose we have a region R bounded by the line y = x and the parabola y' = 2x + 8, as shown at right. Determine the area of R. 3 Your answer must be fully simplified. y? = 2x +8 2 y = X Note: You must use methods discussed from the chapters and sections covered by this exam. If R 17 your work makes use of methods not discussed X in those chapters and sections, or is based upon -3 3 concepts/principles from other chapters or -1 sections of the text not covered by this exam, you will receive no credit. -2 IMPORTANT: Your work must include information as to -3 how you determined your limits of integration. You may use words, diagrams, or math - whatever works best Region R is the entire region bounded by the two for you in explaining HOW you derived given equaitons, on both sides of both axes. your limits of integration. However, if you fail to convince me that you, personally, derived your integration limits, you will receive no credit, even if your work is correct. Your Answer Area =