Answer
$\int_0^1 \sqrt {4-x^2}$
Work Step by Step
Interpreting Limits of sums as Integrals
-$\lim\limits_{||p|| \to 0}$ $\Sigma^n_{k=1} \sqrt {4-c_k^2}$
where P is a partition of [0,1]
as
-- $\int_0^1 \sqrt {4-x^2}$
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