Question: 1. (12 marks): (a) Derive the sigma notation formula for the right Riemann sum R of the function f (1:) = (1 + 11:)2 on

1. (12 marks): (a) Derive the sigma notation formula for the right Riemann sum R\" of the function f (1:) = (1 + 11:)2 on the interval [0,2] using to subintervals of equal length, and 2 calculate the integral f f (1:) dz: as the limit of R\" at n + 00. e (Reminder: Z k = "(\"2\") I and Z: k2 2 "(n-i-lgmni-l) ' ) k=1 k=1 (b) Graph the function f(117) : |2rr 6| 4, and use it to evaluate the integral 5 f f(:) d3: in terms of area. 1

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