Results 1 to 5 of 5

Math Help - double integral question 2

  1. #1
    Junior Member
    Joined
    Oct 2008
    Posts
    57

    double integral question 2

    I = \int between 0 to 1 dy, \int 0 to y y^3/(x^2 + y^2) dx

    sketch the domain of integration
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Math Engineering Student
    Krizalid's Avatar
    Joined
    Mar 2007
    From
    Santiago, Chile
    Posts
    3,654
    Thanks
    14
    \int_{0}^{1}{\int_{0}^{y}{\frac{y^{3}}{x^{2}+y^{2}  }\,dx}\,dy}.

    The domain where the double integral is taken, it's a triangle.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Apr 2005
    Posts
    16,453
    Thanks
    1868
    Quote Originally Posted by sonia1 View Post
    I = \int between 0 to 1 dy, \int 0 to y y^3/(x^2 + y^2) dx

    sketch the domain of integration
    The outer integral is form x= 0 to x= 1. Draw the vertical lines, x= 0, y= 1. The inner integral is from y= 0 to y= x^3. Draw that line and curve. The region of integration is the region bounded by those.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Junior Member
    Joined
    Oct 2008
    Posts
    57
    what do you when you evaluate it
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Math Engineering Student
    Krizalid's Avatar
    Joined
    Mar 2007
    From
    Santiago, Chile
    Posts
    3,654
    Thanks
    14
    You mean how do we evaluate this?

    Reverse integration order first.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. double integral Question
    Posted in the Calculus Forum
    Replies: 0
    Last Post: November 26th 2011, 06:19 AM
  2. Double Integral question
    Posted in the Calculus Forum
    Replies: 3
    Last Post: March 6th 2011, 10:39 AM
  3. Double integral question.
    Posted in the Calculus Forum
    Replies: 6
    Last Post: December 8th 2010, 05:53 PM
  4. Double Integral and Triple Integral question
    Posted in the Calculus Forum
    Replies: 3
    Last Post: February 3rd 2010, 01:47 PM
  5. Double Integral Question
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 11th 2009, 08:47 AM

Search Tags


/mathhelpforum @mathhelpforum