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1)

Consider the region R enclosed between the graphs of the functions f (x) and g(x). 1 0.8 0.6 0.4 0.2 0 0 0.2 0.4 0.6 0.8 1 I (a) Set up an integral that represents the area of the region R. (b) Suppose the second derivative satises 6 S g\"(x) f\"(x) s 2 for all x. Find the smallest integer n such that if the trapezoidal rule is used to approximate the area of R, it will be accurate to within 0.00001