1. The problem statement, all variables and given/known data 1. Express as a sum of riemann and write the integral to express the area of the trapezoid with vertex (0,0) , (1,3) , (3,3) , (5,0). 2. find the intersection points limited by these equations y = xsquare -3x and y = -2x +3 = 0 3. the trapezoid with vertex (0,0) , (0,2) , (3,2) and (5,0) spins arround the y axis . Express it as a Riemann sum and write the integral to express the volume of the solid. 2. Relevant equations 3. The attempt at a solution My biggest problems in problem 1 is that I dont know how to express the area of the trapezoid as an integral or as a function how can it be? I have looked for this in many math books but they dont mention this at all. In problem 2 I need to find the intersection points . I tried seting the two equations equal and then solving for x . but it resulted in a quadratic equation and the results werent right. I need help because I ll have a semestral exam tomorrow about this subject and I really need to master it as much as I can. Thank s alot in advance for your time.