(1) Find the area under the function f (it?) = 2:32 + 61' + 5 on the interval [1, 4] by taking the limit of Riemann sums based on equal-length intervals and using right endpoints. Sketch the rectangles whose area is being calculated in the sums. (The main item to explain is how you get the small intervals.) " 3 + 535' 4 . ' ' - ' ' ' W ~ 1vethearea (2) For what function f (3:) and 1nte1va1 la, 19] does the limit \"15210 ._1 (2 + (3 + %)2) n g under f (90) on [(1, b]? (Explain what similarities between the expression above and a general expression for area under a curve lead you to deduce what f (as) and [(1, b] are.)