(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the arclength of the curve given by y= integral from -pi/2 to x of sqrt(cost)dt. X is restricted between -pi/2 and pi/2.

2. Relevant equations

L = Integral from a to b of sqrt((dy/dx)^2 + 1)dx

L = Integral from a to b of sqrt((dy/dt)^2 + (dx/dt)^2)dt

3. The attempt at a solution

I'm not even sure how to start this problem since integral of sqrt(cost) has no simple function representing it. Can somebody please give me some direction?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Complicated Arclength Problem

**Physics Forums | Science Articles, Homework Help, Discussion**