Question: Consider The Definite Integral 2} Consider the definite integral f; %dt. (a) By dividing the interval [3, 4] into 11 equal parts and choosing suitable

Consider The Definite Integral

2} Consider the definite integral f; %dt. (a) By dividing the interval [3, 4] into 11 equal parts and choosing suitable sample points, Show that '1 1 41d "1 1 t . i=1 (b) How large should an be to make sure that each of the sums in part (a) 1 l ? 100000? approximates I; dt with an error of at most

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