Results 1 to 11 of 11

Math Help - Area between the curves

  1. #1
    Newbie
    Joined
    Feb 2009
    Posts
    14

    Area between the curves

    I am asked to find the area between the two curves below with respect to [0,1].

    y = (((x^2)((x^3)+1)^10)/11)+3

    and

    y = (-((x)((x^2)+1)^10)/11)+3

    I am having a lot of difficulty finding the integral.

    Thanks

    Alex
    Last edited by alex.caine; April 19th 2010 at 09:41 AM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Mar 2010
    From
    Florida
    Posts
    3,093
    Thanks
    5
    Having you drawn the picture?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Feb 2009
    Posts
    14
    Yes I drew it and plugged it into my calculator and it looks like a number that is not countable. I made a mistake with my formulas though in the above post that i will correct.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Joined
    Mar 2010
    From
    Florida
    Posts
    3,093
    Thanks
    5
    The formula for integrating the area between two curves is

    \int_{a}^{b}[f(x)-g(x)]dx

    Where f(x) is the top curve and g(x) is the bottom curve.

    or
    \int_{a}^{b}\int_{g_1(x)}^{g_2(x)}f(x,y)dydx
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Newbie
    Joined
    Feb 2009
    Posts
    14
    Okay, that I know

    Then you end up with an integral that I do not know how to solve which is my problem...

    You get the integral of

    (((x^2)(x^3+1)^10)/11)+(((x)(x^2+1)^10)/11)

    This is where I am stuck.. Finding the answer to the above integral.
    Follow Math Help Forum on Facebook and Google+

  6. #6
    MHF Contributor
    Joined
    Mar 2010
    From
    Florida
    Posts
    3,093
    Thanks
    5
    If you can't combine them, break them up into two separate integrals and add the results of both integrals.
    Follow Math Help Forum on Facebook and Google+

  7. #7
    MHF Contributor
    Joined
    Mar 2010
    From
    Florida
    Posts
    3,093
    Thanks
    5
    Quote Originally Posted by alex.caine View Post
    Okay, that I know

    Then you end up with an integral that I do not know how to solve which is my problem...

    You get the integral of

    (((x^2)(x^3+1)^10)/11)+(((x)(x^2+1)^10)/11)

    This is where I am stuck.. Finding the answer to the above integral.

    Nevermind.
    Follow Math Help Forum on Facebook and Google+

  8. #8
    MHF Contributor
    Joined
    Mar 2010
    From
    Florida
    Posts
    3,093
    Thanks
    5
    Then, once you have two integrals, use u-sub to simplify your integrals
    Follow Math Help Forum on Facebook and Google+

  9. #9
    Newbie
    Joined
    Feb 2009
    Posts
    14
    Could you please inform me what u-sub is
    Follow Math Help Forum on Facebook and Google+

  10. #10
    MHF Contributor
    Joined
    Mar 2010
    From
    Florida
    Posts
    3,093
    Thanks
    5
    substitution
    Follow Math Help Forum on Facebook and Google+

  11. #11
    Newbie
    Joined
    Feb 2009
    Posts
    14
    I do not know the formula for that...
    If anyone other than dsmith could be of assistance it would be greatly appreciated
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Area between curves
    Posted in the Calculus Forum
    Replies: 2
    Last Post: October 14th 2010, 04:38 AM
  2. Area between curves
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 4th 2010, 07:29 PM
  3. Area between two curves
    Posted in the Calculus Forum
    Replies: 1
    Last Post: August 11th 2010, 09:52 PM
  4. Area between Curves
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 25th 2009, 07:11 PM
  5. Area Between Two Curves
    Posted in the Calculus Forum
    Replies: 2
    Last Post: November 22nd 2009, 05:39 PM

Search Tags


/mathhelpforum @mathhelpforum