Problem

Use either a computer algebra system or a table o…

01:59

Problem 24 Hard Difficulty

Use Simpson's Rule with $n=10$ to estimate the arc
length of the curve. Compare your answer with the value of
the integral produced by your calculator.
$$y=e^{-x^{2}}, \quad 0 \leqslant x \leqslant 2$$

Answer

$S_{10}=2.280731$
Using Calculator, $L=2.280526$

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Calculus 2 / BC

Essential Calculus Early Transcendentals

Chapter 7

APPLICATIONS OF INTEGRATION

Section 4

Arc Length

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Video Transcript

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