Results 1 to 2 of 2

Math Help - Area bounded by parametric equations

  1. #1
    Super Member
    Joined
    Dec 2009
    Posts
    755

    Area bounded by parametric equations

    The curve L is defined by the parametric equations

    x=e^t , y=t-2

    Find the area of the region enclosed by the curve L, the x-axis and the lines x=e and x=e^3

    Area=\int^{e^3}_et-2dx

    \frac{dx}{dt}=e^t

    Area=\int^{3}_1(t-2)e^tdt

    =((3-2)e^3)-((1-2)e)

    =e^3+e

    =22.8 unit^2

    But answer is 9.34unit^2
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Jester's Avatar
    Joined
    Dec 2008
    From
    Conway AR
    Posts
    2,361
    Thanks
    39

    Re: Area bounded by parametric equations

    If you draw a picture of the region in question, you'll find that y is negative for t = 1 to 2 then goes positive. You'll need to split your integral up into two pieces to account for that.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. area bounded by parametric equation
    Posted in the Calculus Forum
    Replies: 0
    Last Post: April 28th 2010, 03:28 PM
  2. Replies: 2
    Last Post: March 10th 2010, 12:40 PM
  3. Replies: 2
    Last Post: November 19th 2009, 06:12 AM
  4. Area and Parametric Equations
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 1st 2008, 10:44 PM
  5. Replies: 6
    Last Post: March 25th 2008, 08:26 AM

Search Tags


/mathhelpforum @mathhelpforum