Question
Find the length of the curve$$y=\int_{1}^{x} \sqrt{t^{3}-1} d t \quad 1 \leqslant x \leqslant 4$$
Step 1
The derivative of the integral from a constant to a variable of a function is just the function evaluated at the variable. So, we have: \[y' = \sqrt{x^3 - 1}\] Show more…
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