Use the formula Pierre de Fermat used geometric series to compute the area under the graph of

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Use the formula

1+r+++N-1 1-N 1-r

Pierre de Fermat used geometric series to compute the area under the graph of ƒ(x) = x^Nover [0, A]. For 0

1-r 1-rN+1 A x dx = lim F(r). (a) Show that F(r) = AN+. (b) Use Eq. (6) to evaluate f(x)=xN Lan rA A rA A -X

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 19, 2023 08:04 AM

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Use the formula Pierre de Fermat used geometric series to compute the area under the graph of

Question:

1+r+²++N-1 1-N 1-r

Step by Step Answer:

a The area of the rectangle whose base extends from x A to x A is 1A ...View the full answer

Calculus

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