ocr: 7. a) Sketch the region bounded by the curves y-e -X - J y=x+1, x=l and find its area. b) Suppose the interval 0 S x<2 is split into n equal subintervals. Iff(x) = . x2, write an expression R in terms of n for Z f(z;) Ari 7 where Ti is the right hand endpoint of the ith subinterval. 1=1 c) What is the value of the sum in part b if n 1 5? d) What is the limit of the expression obtained in part b as n 1 0O.
