Question
Find the exact arc length of the curve over the interval.$$y=\left(x^{6}+8\right) /\left(16 x^{2}\right) \text { from } x=2 \text { to } x=3$$
Step 1
The function is given by $$ y=\frac{x^{6}+8}{16x^{2}} $$ which can be simplified to $$ y=\frac{x^{4}}{16}+\frac{1}{2x^{2}} $$ Taking the derivative of this function, we get $$ y'=\frac{x^{3}}{4}-\frac{1}{x^{3}} $$ Show more…
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