Results 1 to 6 of 6

Math Help - Multiple integrals

  1. #1
    Newbie sajjad002's Avatar
    Joined
    Mar 2009
    Posts
    10

    Multiple integrals

    Question # 01:

    Evaluate the iterated integral by converting to polar coordinates



    The region of integration is bounded by



    Question # 02:

    Evaluate the triple integral




    Attached Thumbnails Attached Thumbnails Multiple integrals-q1p.jpg   Multiple integrals-q1p2.bmp   Multiple integrals-q2p1.bmp   Multiple integrals-q2p2.bmp   Multiple integrals-q2p2.jpg  

    Last edited by sajjad002; May 26th 2009 at 01:49 AM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor matheagle's Avatar
    Joined
    Feb 2009
    Posts
    2,763
    Thanks
    5
    The first is just \int_{-\pi/2}^{\pi/2}\int_0^2 re^{r^2}dr d\theta =\pi\int_0^2 re^{r^2}dr.

    WHERE I think you have x^2+y^2 in the exponent of e, but IT's hard to read.

    Now integrate with u=r^2.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie sajjad002's Avatar
    Joined
    Mar 2009
    Posts
    10
    Quote Originally Posted by matheagle View Post
    the first is just \int\int re^{r^2}dr d\theta

    WHERE I think you have x^2+y^2 in the exponent of e, but IT's hard to read.


    \int_{-0}^{2}\int_{-(4-x^2)^{1/2}}^{(4-x^2)^{1/2}}  e^{-x^2-y^2}dy dx
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor matheagle's Avatar
    Joined
    Feb 2009
    Posts
    2,763
    Thanks
    5
    The second one is

    \int_2^3dx\int_{-1}^1\int_0^1 (\sqrt{y}-3z^2)dydz=\int_{-1}^1\int_0^1(\sqrt{y}-3z^2)dydz.

     =\int_{-1}^1((2/3)y^{3/2}-3z^2y)\biggr|_{y=0}^{y=1}dz=\int_{-1}^1((2/3)-3z^2)dz....
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by matheagle View Post
    ????????????
    Try quoting the post if its unreadable due to latex errors, at least you will then see what the post contained, and you would not leave the rest of us wondering what you are refering to.

    CB
    Follow Math Help Forum on Facebook and Google+

  6. #6
    MHF Contributor matheagle's Avatar
    Joined
    Feb 2009
    Posts
    2,763
    Thanks
    5
    I've done that before, but I was too tired and didn't think of doing that tonight.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. multiple integrals
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 14th 2009, 03:53 PM
  2. Multiple integrals help
    Posted in the Calculus Forum
    Replies: 2
    Last Post: October 28th 2009, 12:21 PM
  3. multiple integrals
    Posted in the Calculus Forum
    Replies: 3
    Last Post: February 7th 2009, 01:45 PM
  4. Help on multiple integrals?
    Posted in the Advanced Applied Math Forum
    Replies: 1
    Last Post: September 9th 2008, 02:37 AM
  5. multiple integrals
    Posted in the Calculus Forum
    Replies: 4
    Last Post: April 11th 2006, 07:22 AM

Search Tags


/mathhelpforum @mathhelpforum