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
By the Fundamental Theorem of Calculus, the derivative \( y'(x) \) is given by the integrand evaluated at \( x \). Therefore, \[ y'(x) = \sqrt{x^3 - 1}. \] Show more…
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