Find the exact arc length of the curve x = 1/8*y^4 + 1/4*y^(-2) from y = 1 to y = 4.
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The arc length \(L\) of a curve defined by \(x = f(y)\) from \(y = a\) to \(y = b\) is given by the integral formula: \[ L = \int_{a}^{b} \sqrt{1 + \left(\frac{dx}{dy}\right)^2} \, dy \] Show more…
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