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!

Conceptual double integral question

  1. Nov 4, 2012 #1
    1. The problem statement, all variables and given/known data

    ∫∫x2sin(y2)dA; R is the region that is bounded by y=x3
    y=-x3, and y=8.

    While working out the regions for this integral I set the inner integral to -y1/3 to y1/3. and the outer integral from 0 to 8. The book however set the inner integral from 0 to y1/3. However we both got the same answer, is there a reason for this?

    Thanks

    Higgenz


    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Nov 4, 2012 #2

    tiny-tim

    User Avatar
    Science Advisor
    Homework Helper

    Hi Mdhiggenz! :smile:
    Either one of you made a mistake, or the book multiplied by 2 after integrating. :confused:
     
  4. Nov 4, 2012 #3
    Hey Tim,

    Yea the books answer is quite strange, the way I reasoned my answer is when I drew the graph R2: goes from -y^1/3 to positive y^1/3. Unless the book chose not to include the negative region.

    Thoughts?
     
  5. Nov 4, 2012 #4

    tiny-tim

    User Avatar
    Science Advisor
    Homework Helper

    Your method looks fine. :confused:
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Conceptual double integral question
Loading...