(a) Let a ≥ 2 be a real number. By considering appropriate trapeziums, show that In(a − 1) + In a 2 그를 In x dx ≤ In a and (b) Using the result from (a), deduce that for every integer n ≥ 2. fo In x dx > Linxdx In x dx ≤ ln(n!) - Inn ≤ "In In x dx

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