Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Iterated Integral

  1. Mar 18, 2011 #1
    1. The problem statement, all variables and given/known data
    Evaluate the iterated integral I = [tex] \int^{1}_{0}\int^{1+y}_{1-y} (6y^2+ 10x) dxdy [/tex]

    2. Relevant equations

    . . . ?

    3. The attempt at a solution
    Integrate with respect to x gives me the following equation.
    [tex] \int^{1}_{0} 6xy^2 + 5x^2 dy [/tex]
    I plug in y+1 and y-1 into x and get the following
    Most of the stuff cancels out giving me
    which simplifies to
    [tex] \int^{1}_{0} 24y^3+20y dy [/tex]
    and after integration I get
    and after plugging in my numbers I get
    6+10 = 16 which is wrong. I am not sure where I screwed up.
  2. jcsd
  3. Mar 18, 2011 #2


    User Avatar
    Gold Member

    Don't use sup in LaTeX; exponents are indicated by ^, with braces {} if the exponent is more than one character long.

    I only briefly looked at your work, but you might want to check your substitution of limits in the first integrand.
  4. Mar 18, 2011 #3


    User Avatar
    Gold Member

    <double post>
  5. Mar 18, 2011 #4
    You, were right! I screwed up by substituting the limits into the y instead of x by mistake. Thanks a lot.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Similar Discussions: Iterated Integral
  1. Iterated Integral (Replies: 7)

  2. Iterated integrals (Replies: 4)

  3. Iterated Integrals (Replies: 2)

  4. Iterated Integrals (Replies: 2)

  5. Iterated integrals (Replies: 12)