Results 1 to 2 of 2

Math Help - Please Help: find area bounded by two curves

  1. #1
    Junior Member
    Joined
    Jan 2008
    Posts
    48

    Smile Please Help: find area bounded by two curves

    Please find the value of the definite integral thanks.

    x=100000(9√y-1)
    x=100000((9√y-1)/(8√y))
    Follow Math Help Forum on Facebook and Google+

  2. #2
    GAMMA Mathematics
    colby2152's Avatar
    Joined
    Nov 2007
    From
    Alexandria, VA
    Posts
    1,172
    Awards
    1
    Quote Originally Posted by waite3 View Post
    Please find the value of the definite integral thanks.

    x=100000(9√y-1)
    x=100000((9√y-1)/(8√y))
    First, find out for what values of y, that these two equations equal.

    9\sqrt{y}-1=\frac{(9\sqrt{y}-1)}{8\sqrt{y}}
    1=8\sqrt{y}
    y=\frac{1}{64}

    Also, note that when y=\frac{1}{81}, the equations are both equal to zero. We now have our limits, so let's continue to integration...

    Graphs are positive, so take the difference between the equations to get: 100000(9\sqrt{y}-1)(\frac{1}{8\sqrt{y}}-1) = 100000(\frac{9}{8}-9\sqrt{y}-\frac{1}{8\sqrt{y}}+1)

    Now, integrate it...

    \int _{\frac{1}{81}}^{\frac{1}{64}} 100000(\frac{9}{8}-9\sqrt{y}-\frac{1}{8\sqrt{y}}+1) dy

    Can you finish this?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. find the area bounded by the curves.
    Posted in the Calculus Forum
    Replies: 12
    Last Post: May 16th 2011, 05:56 AM
  2. area bounded by curves
    Posted in the Calculus Forum
    Replies: 4
    Last Post: October 21st 2009, 06:53 AM
  3. find the area bounded by the curves
    Posted in the Calculus Forum
    Replies: 2
    Last Post: October 20th 2009, 06:46 PM
  4. Replies: 4
    Last Post: August 13th 2009, 06:27 PM
  5. Area bounded by curves
    Posted in the Calculus Forum
    Replies: 6
    Last Post: October 11th 2008, 08:51 PM

Search Tags


/mathhelpforum @mathhelpforum