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Numerade Educator

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Problem 23 Easy Difficulty

Graph the curve and visually estimate its length. Then use your calculator to find the length correct to four decimal places.

$ y = x^2 + x^3 $ , $ 1 \le x \le 2 $

Answer

$L=\int_{1}^{2} \sqrt{1+\left(2 x+3 x^{2}\right)^{2}} d x \approx 10.0556$

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Video Transcript

Hey, it's clear. So when you read here so I'm gonna draw on ground. So we have. We try. We get cornets of one common, too. And then it goes like this thing, too. Coma, 12 Ark, Ark. Ark. Clancy is equal to and to go from 1 to 2 square root of one. Plus, the derivative is equal to two eggs plus three square. So we get two X plus three square sway D X needs in the calculator. This is around 10 point zero by 56