Working in the early 1600s, the mathematicians Wallis, Pascal, and Fermat were calculating the area of the

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Working in the early 1600s, the mathematicians Wallis, Pascal, and Fermat were calculating the area of the region under the curve y = xp between x = 0 and x = 1, where p is a positive integer. Using arguments that predated the Fundamental Theorem of Calculus, they were able to prove that

п- k Σ lim p + 1° n→∞ N k=0\N

Use what you know about Riemann sums and integrals to verify this limit.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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