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I think the fastest solution is using calculator (Wink)

My progress, the last step is find the integral: $$\int_{2}^{4}\sqrt{1 + (\frac{5x^{4}}{6} - \frac{1}{4x})^{2}}\,dx$$

Hi everyone, I have an exercise I haven't solved yet, please help me. Find the length of the curve: $$y = \frac{{x}^{5}}{6} - \frac{lnx}{4}, 2 \le x \le 4$$.