Show that the arc length of y = 2 x over [0, a] is equal to a(a

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Show that the arc length of y = 2 √x over [0, a] is equal to √a(a + 1) + ln(√a + √a + 1). Apply the substitution x = tan² θ to the arc length integral.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 10, 2023 09:18 AM

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Show that the arc length of y = 2 x over [0, a] is equal to a(a

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Thus Let y 2x Then y and y 1 S S 2 xa We use a reduction formula t...View the full answer

Calculus

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