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write:(c) Suppose R is a rule that integrates constants exactly over [−1 1] and that f(x) is bounded and Riemann-integrable over [a b]. Write down a formula for the composite rule (

1] find 4 and hence show that this is a Riemann sum. (c) Suppose R is a rule that integrates constants exactly over [−1
1]
and that f(x) is bounded and Riemann-integrable over [a
b]. Write down a formula for the composite rule (n × R)f and prove that limn→∞ (n × R)f = Z b a f(x) dx [6 marks] (d) What is the formula for (n × Q)f over [a
b]?

 

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