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!

Homework Help: Changing bounds of integration of a double integral

  1. May 4, 2009 #1

    Picture of the problem is listed above. I'm not sure how to switch the bounds of integration on it. Anyone here know how to go about this?

    i tried doing it x^2 to 1 for y and then 0 to 1 for x but it didnt work out to be the write answer, the write answer after putting it in your calculator is about .40 ish

    Normally when i do these kinds of problems i draw the bounds out, but im not sure how these current bounds would even look.
  2. jcsd
  3. May 4, 2009 #2


    User Avatar
    Science Advisor
    Homework Helper

    Hi yopy! :smile:

    (try using the X2 tag just above the Reply box :wink:)
    Well, that looks right to me …

    it's just the area above the parabola y = x2

    show us what you got.
  4. May 4, 2009 #3
    i figured it out, the bounds turn into 0 to x^2 for respect to Y, and then 0 to 1 for respect to X

    my problem was drawing the region they were integrating over. I got the right answer though, thanks.
  5. May 4, 2009 #4


    Staff: Mentor

    I don't think so. The limits of integration in the original problem indicate that the region is to the right of the parabola, not above it. The region is bounded by the parabola, the x-axis, and the line x = 1. Yopy's revised limits of integration describe this region.
  6. May 4, 2009 #5


    User Avatar
    Science Advisor
    Homework Helper


    oops! :redface: i should have drawn it! :rolleyes:

    thanks Mark! :smile:
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook