1. The problem statement, all variables and given/known data Problem: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. Given curves: y = 2sqrt(x), y = 4, and y = -2x + 4 Technically, the curves are given as follows (but, I simplified them): 2y = 4sqrt(x), y = 4, 2y + 4x = 8 This ( http://www.wolframalpha.com/input/?i=find+area+between+y+=+2sqrt(x),+y+=+4,+y+=+-2x+++4 ) Wolfram Alpha link shows the plot for the area wanted. 2. Relevant equations Definite integration and drawing functions. 3. The attempt at a solution Could someone please tell me why that part that looks like a triangle which is from x = 0 to x = 4 and y = 2 to y = 4 is not shaded?