Question
$3-8$ Set up an integral that represents the length of the curve.Then use your calculator to find the length correct to four decimal places.$$x=\sqrt{y}-y, 1 \leqslant y \leqslant 4$$
Step 1
The formula for the arc length of a curve $x=f(y)$ from $y=c$ to $y=d$ is given by $$L=\int_{c}^{d}\sqrt{1+\left(\frac{dx}{dy}\right)^{2}}dy$$ Show more…
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