Results 1 to 2 of 2

Math Help - How do you find the area bounded by y coordinates?

  1. #1
    Newbie
    Joined
    May 2010
    Posts
    3

    How do you find the area bounded by y coordinates?

    How do you find the area bounded by

    y= 4x^3 and y= 12x^2-8x
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Jun 2009
    From
    United States
    Posts
    676
    Thanks
    19
    Quote Originally Posted by cnyce05 View Post
    How do you find the area bounded by

    y= 4x^3 and y= 12x^2-8x
    The graphs intersect three times. If you solve 4x^3=12x^2-8x you find that they intersect at x=0,1,2

    f(x)=4x^3

    g(x)=12x^2-8x

    So you will have to use two integrals. The cubed function is greater than the parabola on the interval [0,1] and the parabola is greater on the interval from [1,2]. This is obvious if you graph it on a calculator. Or you can just use test values. The area should be:

    \int_0^1 [4x^3-(12x^2-8x)]dx + \int _1^2 [(12x^2-8x)-4x^3]dx
    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, 04:56 AM
  2. Find the area bounded by...
    Posted in the Calculus Forum
    Replies: 3
    Last Post: November 27th 2010, 07:54 AM
  3. Replies: 2
    Last Post: July 21st 2010, 12:20 PM
  4. Replies: 0
    Last Post: March 25th 2010, 04:57 PM
  5. find area bounded by graph
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 14th 2009, 08:10 PM

Search Tags


/mathhelpforum @mathhelpforum