My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum

LinkBack Thread Tools Display Modes
January 27th, 2015, 07:29 AM   #1
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.

norton is offline  

  My Math Forum > College Math Forum > Calculus

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

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
Find the Surface Area of an Open-topped Lid Pumpkin99 Algebra 7 November 16th, 2011 08:02 AM
Surface Area: How do I find the dimensions with this problem Regnes Algebra 2 June 26th, 2011 12:57 AM
use definition to find laplace transform directly mbradar2 Calculus 6 December 12th, 2010 04:45 PM
Area of a Cardioid usermind Calculus 2 June 10th, 2010 01:15 PM
Min Area/Cost problem hikagi Calculus 1 December 5th, 2007 04:25 PM

Copyright © 2018 My Math Forum. All rights reserved.