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so um diagram diagram diagram we want to find the area bound by a heap of functions and were not given a diagram so we have a parabola a horizontal line and another horizontal line a and the parabola and were wanting to find the area bound by those functions hopefully you can see that these points of intersection are going to be really really important so lets find those were going to solve them simultaneously so a x squared equals 16 a were solving for x because this is the x and y axis so a x squared get the a out of there and thats going to be x plus 4 x minus four so x will be plus or minus four similarly youre going to get x is plus or minus two with the other one so um given that youre big boys and girls lets just let you do that at a later stage so all of a sudden weve got minus four minus two two and four you can see that were going to have different areas theres an area between two functions theres an area between two functions and theres an area between two fun