Griffiths Pollard
06/28/2023 · High School
Find the exact length of the curve. \[ y=\frac{x^{5}}{6}+\frac{1}{10 x^{3}}, \quad 1 \leq x \leq 3 \] aby
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The exact length of the curve is given by the integral:
\[
L = \int_1^3 \frac{\sqrt{1525 x^8 - 450 x^4 + 81}}{30 x^4} \, dx
\]
This integral can be computed numerically to find the exact length.
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