1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Double Integral Problem!

  1. Jun 21, 2011 #1
    1. Find the area of the ellipse (2x + 5y − 3)^2 + (3x − 7y + 8)^2 < 1

    I have no idea what this looks like, and hence I cant figure out the limits. Maybe I could transform it into a more familiar form using a translation and rotation? Please help.
  2. jcsd
  3. Jun 21, 2011 #2

    Char. Limit

    User Avatar
    Gold Member

    Have you learned about the Jacobian? This seems like a good place to use it. In essence, let u=2x+5y-3 and v=3x-7y+8. It should give you a nice coordinate transformation that will change your ellipse to something easily integrable.
  4. Jun 23, 2011 #3
    Thanks, it turned out to be really easy!
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Threads - Double Integral Problem Date
Double integration problem for IDSFT Feb 8, 2017
Double integration problem Sep 10, 2016
Double integral problem, conceptual help. Mar 16, 2015
Double integral volume problem Nov 18, 2014
Double Integral problem Sep 2, 2014