Calculus : Please edit the image instead so it is easier to follow

Directions: Find the Right Riemann Sum 1. Use a Right Riemann Sum with n = 4 rectangles to approximate the area under the curve f (x) = -x2 + 5 on the interval [1,2]. Follow the steps below: a) In the graph at the right, draw rectangles at each of the four desired sub-intervals. Label the rectangles: O A1 sub-interval: [1,1.25] -3 O A2 sub-interval: 2- O A3 sub-interval:_ O A4 sub-interval: b) Fill in the blanks: Since we're taking a Right Riemann sum, we'll find the height of each rectangle by evaluating the function at the endpoint of each sub-interval. (Note: the notation x, means the right- hand endpoint of the sub-interval). c) Fill in the table below to find the area of each of the four rectangles. (Follow the example in the second column. Sub-interval 1: Sub-interval 2: Sub-interval 3: Sub-interval 4: [1.25,1.5] XR = 1.5 X3 = xh = by = 62 = 0.25 63 = 64 = h = h2 =f (1.5) = 2.75 h3 = hA = A1 = A2 = 0.6875 A3 = A4 = d) Find R4 = A1 + A2 + A3 + A4 = e) Is this approximation an under-estimate or an over-estimate for the actual area under the curve? f) Describe one technique for getting a better approximation of the area under the curve