Question
Find the lengths of the curves.$$y=\int_{-2}^{x} \sqrt{3 t^{4}-1} d t,-2 \leq x \leq-1$$
Step 1
According to the Fundamental Theorem of Calculus, the derivative of an integral of a function from a constant to x is just the function evaluated at x. So, we have: \[y'(x) = \sqrt{3x^4 - 1}\] Show more…
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