Results 1 to 3 of 3
Like Tree2Thanks
  • 1 Post By MINOANMAN
  • 1 Post By HallsofIvy

Math Help - Another area of shaded region

  1. #1
    Member
    Joined
    Dec 2012
    From
    NY
    Posts
    105
    Thanks
    1

    Another area of shaded region

    find the area of the shaded region

    My work:











    .


    this is my final answer but I am wrong. Can someone suggest where I went wrong? Thanks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    Feb 2013
    From
    Saudi Arabia
    Posts
    440
    Thanks
    86

    Re: Another area of shaded region

    just add the portion of the function e^y
    i.e integrate the function y^2-3+e^y from -1 t0 1 and you will find e -1/e +16/3
    Last edited by MINOANMAN; April 9th 2013 at 12:03 PM.
    Thanks from Steelers72
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,423
    Thanks
    1332

    Re: Another area of shaded region

    That's exactly what he says he got!

    Steelers72, did you notice that your answer is negative? "Area" cannot be negative. Your error is that you have subtracted e^y from y^2- 3 when, because, for every y, e^y is larger than y^2- 3, you should be integrating \int_{-1}^1 e^y- (y^2- 3) dy.
    Last edited by HallsofIvy; April 9th 2013 at 10:44 AM.
    Thanks from Steelers72
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. The problem of shaded region's area
    Posted in the New Users Forum
    Replies: 2
    Last Post: July 14th 2012, 10:20 PM
  2. Finding the area of the shaded region (2)
    Posted in the Geometry Forum
    Replies: 8
    Last Post: May 20th 2012, 01:40 PM
  3. Area of shaded region
    Posted in the Algebra Forum
    Replies: 1
    Last Post: August 11th 2011, 10:36 PM
  4. Finding the area of the shaded region.
    Posted in the Geometry Forum
    Replies: 4
    Last Post: January 4th 2011, 12:24 AM
  5. Area of shaded region
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 7th 2008, 07:02 PM

Search Tags


/mathhelpforum @mathhelpforum