Results 1 to 2 of 2

Thread: double integral of (X^2)/4 -(y^2)/16 over non rectangular region (x^2)/4 +(y^2)/16 <1

  1. #1

    double integral of (X^2)/4 -(y^2)/16 over non rectangular region (x^2)/4 +(y^2)/16 <1

    I am trying to calculate the integral of this function (X^2)/4 -(y^2)/16 over the region (x^2)/4 +(y^2)/16 <1.
    This function represents the surface of a Pringles chip that I am studying the properties of.

    I know about how Riemann sums describing double integrals work, but I don't know how to integrate over non-rectangular regions. I heard someone talking about a "slab method".

    problems:
    1. how do I set the limits of the integrals to correspond with the region.(if I use double integrals)

    2. how does the process work if I use Riemann sums to approximate the area.

    thanx for any help

  2. #2
    Elite Member
    Join Date
    Jun 2007
    Posts
    17,877
    Quote Originally Posted by hansel27 View Post
    I am trying to calculate the integral of this function (X^2)/4 -(y^2)/16 over the region (x^2)/4 +(y^2)/16 <1.
    This function represents the surface of a Pringles chip that I am studying the properties of.

    I know about how Riemann sums describing double integrals work, but I don't know how to integrate over non-rectangular regions. I heard someone talking about a "slab method".

    problems:
    1. how do I set the limits of the integrals to correspond with the region.(if I use double integrals)

    2. how does the process work if I use Riemann sums to approximate the area.

    thanx for any help
    I'll convert to system (instead of rectangular system).
    “... mathematics is only the art of saying the same thing in different words” - B. Russell

Bookmarks

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •