Question: Let f, : [1, 2] R be given by f(x) = x x and (x) = x^2 . (a) iF P is the partition {x_0,

Let f, : [1, 2] R be given by f(x) = x x and (x) = x^2 . (a) iF P is the partition {x_0, x_1, . . . , x_6} where x_i = 1 + i/2 for i = 0, 1, . . ., 6 and T = {t_1, t_2, . . . , t_6} where ti = x_i1, evaluate the Riemann-Stieltjes sum S(f, P, T).

(b)Show that f R[1, 2] and evaluate R 2 1 f d.

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