# Calculus

The following sum
[(sqrt(36-((6/n)^2))).(6/n)] +
[(sqrt(36-((12/n)^2))).(6/n)]+ ... + [(sqrt(36-((6n/n)^2))).(6/n)]

is a right Riemann sum for the definite integral F(x) dx from x=0 to 6

Find F(x) and the limit of these Riemann sums as n tends to infinity.

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