The discussion revolves around finding the length of a curve defined by the cubic equation y = x^3/a^2 + a^2/12x, specifically between the points a and a/2. The problem involves calculus concepts related to arc length.
The discussion is ongoing, with participants providing clarifications and checking each other's work. There is an acknowledgment of potential typographical errors and a suggestion to re-evaluate the arithmetic involved in the integration process.
Participants are working under the constraints of homework rules, which may limit the amount of guidance provided. There is a focus on ensuring the correct setup of the problem before proceeding with the solution.
applestrudle said:Homework Statement
Find the length of the curve y = x^3/a^2 + a^2/12x
between a and a/2
Homework Equations
Length L = integrate (1+ dy/dx)^2)^0.5
The Attempt at a Solution
I got to
integrate (9x^4/a^2 + 1/2 + a^4/144x^4)^0.5
but I can't simplify it
LCKurtz said:Is that last term supposed to be ##\frac {a^2}{12x}## or ##\frac{a^2x}{12}##?Did you leave out the ##1##? It would help if you showed your work.
applestrudle said:integrate (9x^4/a^2 + 1/2 + a^4/144x^4)^0.5