1) Consider the function f (x) = 2x - 5x2 + 8 over the interval [1, 5]. a) Approximate the area under this curve over the interval [1, 5] using four rectangles all of equal width. Use the midpoint of each subinterval to calculate the height of each rectangle. Type the exact answer. The area of these 4 rectangles is b) Approximate the area under this curve over the interval [1, 5] using four rectangles all of equal width. Use the left endpoint of each subinterval to calculate the height of each rectangle. Type the exact answer. The area of these 4 rectangles is c) Approximate the area under this curve over the interval [1, 5] using four rectangles all of equal width. Use the right endpoint of each subinterval to calculate the height of each rectangle. Type the exact answer. The area of these 4 rectangles is