My Math Forum Find area of surface x^2+y^2+z^2=4 which lies directly above cardioid p=1-cost
 User Name Remember Me? Password

 Calculus Calculus Math Forum

 January 27th, 2015, 07:29 AM #1 Newbie   Joined: Jan 2015 From: USA Posts: 1 Thanks: 0 Find area of surface x^2+y^2+z^2=4 which lies directly above cardioid p=1-cost The formula for the surface area seems to be obvious using polar coordinates: $\displaystyle S=∫_0^π▒∫_0^(1-cosθ)▒2/√(4-ρ^2 ) ρdρdθ$ but then I get stuck on solving the integral: $\displaystyle 4∫_0^π▒√(4-〖(1-cosθ)〗^2 ) dθ$ I tried various substitution methods but still couldn't find the right solution. Any hint/help would be greatly appreciated. Thanks!

 Tags area, cardioid, directly, find, lies, p1cost, surface, surface area, surfaceintegration, z24

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post Pumpkin99 Algebra 7 November 16th, 2011 08:02 AM Regnes Algebra 2 June 26th, 2011 12:57 AM mbradar2 Calculus 6 December 12th, 2010 04:45 PM usermind Calculus 2 June 10th, 2010 01:15 PM hikagi Calculus 1 December 5th, 2007 04:25 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top