1. Let f(x) = -x2 + 4x and let g(x) = x. On the interval [0, 3], consider a Riemann sum with 3 sub-intervals and right endpoints. Sketch . on the left-most graph: the rectangles corresponding to the Riemann sum for f . on the middle graph: the rectangles corresponding to the Riemann sum for g . on the right graph: the rectangles remaining when those in in the Riemann sum for g are subtracted from the ones in the Riemann sum for f y 4. 4. 4. 3 3 3 2 2 2 T 2 3 2 3 2 3 Set up a definite integral representing the total area between y = f(r) and y = g(r) on [0, 3].Finish Problem 1 determine the tetal area between the curves f(3:) = :r:2 + 43: and g(:;-:) = :1: en the interval [L], 3]. 2. Determine the area of the region bounded by the elu'vee w = 3/5, a: = 8, and y = 1 f :r. 3. Find the area of the region between the graphs of 1 = 4 :r2 and 1 = :r 2