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Numerade Educator

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Problem 3 Easy Difficulty

Set up an integral that represents the length of the curve. Then use your calculator to find the length correct to four decimal places.

$ y = \sin x $, $ 0 \le x \le \pi $

Answer

$L=\int_{0}^{\pi} \sqrt{1+\cos ^{2} x} d x \approx 3.8202$

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Video Transcript

Hey, it's clear. So when you married here? So we have. Why is equal to sign with abs And we have fact is between zero and pi included. The jury of it is it's equal to co sign and using our Barkley formula. We have elk is equal to from zero to pie square root of one plus coastline square D X. And when we use a calculator, this gives us around three point eight do zero to