Answer :
Final answer:
To find the arc length of the function [tex]f(x) = x^5 - 35x^3 + 12x^3[/tex] on the interval [1,2], we can use the arc length formula. Therefore, the correct answer is : a
Explanation:
To find the arc length of the function f(x) = x5 - 35x3 + 12x3 on the interval [1,2], we can use the arc length formula:[tex]L = ∫ab √(1 + (f'(x))2) dx.[/tex]
First, we need to find the derivative of the function. Taking the derivative of f(x) gives us [tex]f'(x) = 5x4 - 105x2 + 36x.[/tex]
Substituting the derivative into the arc length formula and calculating the integral on the interval [1,2] gives us the arc length L = 9.1523.
