Question

Find the arc length of the curve below on the given interval. y = ln(x - ?(x² - 1)), for 1 ? x ? ?257 (Hint: Integrate with respect to y.) The length of the curve is . (Simplify your answer.)

          Find the arc length of the curve below on the given interval.
y = ln(x - ?(x² - 1)), for 1 ? x ? ?257 (Hint: Integrate with respect to y.)
The length of the curve is .
(Simplify your answer.)

Added by Jose Angel J.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

07/31/2023

Step 1

Step 1: Rewrite the function in terms of x in terms of y: Given y = ln(x) - sqrt(x^2 - 1), we can rewrite this as x = 1/2(e^y + e^(-y)). Show more…

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Find the arc length of the curve below on the given interval. The length of the curve is (Simplify your answer.)

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Question

Find the arc length of the curve below on the given interval. y = ln(x - ?(x² - 1)), for 1 ? x ? ?257 (Hint: Integrate with respect to y.) The length of the curve is . (Simplify your answer.)

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