Question
Find the length of the curve $x^{2 / 3}+y^{2 / 1}=4$ between $x=0$ and $x=8$.
Step 1
We can do this by rearranging the given equation: \[x^{2 / 3}+y^{2 / 1}=4\] to get \[y^{2}=4-x^{2 / 3}\] Show more…
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Key Concepts
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Further problems
Find the length of the indicated curve. $$y=\left(4-x^{2 / 3}\right)^{3 / 2} \text { between } x=1 \text { and } x=8$$
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Find the length of the curve $y=\left(4-x^{2 / 3}\right)^{3 / 2}$ over the interval $[0,8] .$
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