(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the length of the curve. [tex]y = x^{3/2}[/tex] from x = 0 to x = 4.

2. Relevant equations

[tex]L = \int^{b}_{a} \sqrt{1 + (dy/dx)^{2}} dx[/tex]

3. The attempt at a solution

[tex]L = \int^{b}_{a} \sqrt{1 + (dy/dx)^{2}} dx[/tex]

[tex]L = \int^{4}_{0} \sqrt{1 + (3x^{1/2}/2)^{2}} dx[/tex]

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I used substitution rule

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[tex]L = 64/27[/tex]

Is this correct?

Thanks

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# Homework Help: Length of Curve

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