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 5
 Problem Statement

State the integral (do NOT evaluate) to compute the arc length between x = 1 and x = 5 for the function ##y=\frac{1}{x^2}## (already done)
How many intervals are required to numerically compute the integral in to an accuracy of ##10^{3}## using the trapezoidal rule?
 Relevant Equations

##L=\int_a^b \sqrt{1+(\frac{dy}{dx})^2}dx##
##E_T\leq\frac{(ba)^3}{12n^2}[max f^{(2)}(x)]##
I got the first part of it down, $$L=\int_1^5 \sqrt{1+(\frac{1}{x^2})}dx$$
I just want to know if it's right to make your ##f(x)=\sqrt{1+\frac{1}{x^2}}## then compute it's second derivative and find it's max value, for the trapezoidal error formula.
I just want to know if it's right to make your ##f(x)=\sqrt{1+\frac{1}{x^2}}## then compute it's second derivative and find it's max value, for the trapezoidal error formula.