Question: Let f be a continuous function such that 3 g f(:l:) g 10 on [3, 5]. 5 Find an upper and lower bound for /

Let f be a continuous function such that 3 g f(:l:) g 10 on [3, 5]. 5 Find an upper and lower bound for / f(:c)d:c. In other words, what is m and M so that 3 mg f5f(zc)d:r: SM. 3 Compute the area S under the curve y = a on [ - 1, 1] using the Riemann sum definition. Do it by completing the following steps. Let n the number of rectangles and f(x) = x Calculate Ax, xi, f(xi), f(xi)Ax a = b = Ax = Ci = f(i) = f(zi) Ax = Now calculate and simplify > f(x;)Ax;. Remember to distribute the sum and use our summation i = 1 formulas. E f(xi) ADE i = 1 Therefore the area is lim E f(xi) Axi = n -+ 0o i =1

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