Results 1 to 5 of 5
Like Tree2Thanks
  • 1 Post By skeeter
  • 1 Post By HallsofIvy

Thread: With these two equations how would I get the a and b values ? for integration .

  1. #1
    Member
    Joined
    Mar 2017
    From
    Annabay
    Posts
    198

    With these two equations how would I get the a and b values ? for integration .

    y = x(x − 1),
    y = 1 − x


    Find the finite area between thefollowing curve:
    The question asks
    y = x(x − 1), y = 1 − x

    to find the a and b values to integrate ...I know I should do x(x-1)=1-x
    so is it x^2+X-2=0
    then (x+1)(x-1)=0

    is that right then i can just integrate
    $$\int_{-1}^{1} x(x-1)-1-x dx$$
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    16,155
    Thanks
    3672

    Re: With these two equations how would I get the a and b values ? for integration .

    $\displaystyle \int_{-1}^1 (1-x)-[x(x-1)] \, dx$

    the line is above the parabola ...
    Thanks from bee77
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Apr 2005
    Posts
    19,415
    Thanks
    2889

    Re: With these two equations how would I get the a and b values ? for integration .

    Quote Originally Posted by bee77 View Post
    y = x(x − 1),
    y = 1 − x


    Find the finite area between thefollowing curve:
    The question asks
    y = x(x − 1), y = 1 − x

    to find the a and b values to integrate ...I know I should do x(x-1)=1-x
    so is it x^2+X-2=0
    then (x+1)(x-1)=0

    is that right then i can just integrate
    $$\int_{-1}^{1} x(x-1)-1-x dx$$
    Yes, your limits of integration are correct. But, as skeeter pointed out, you have the two functions reversed. I want to point out that, you also have a sign wrong. If that were the right order, it should be \int_{-1}^1 x(x-1)- (1- x) dx= \int_{-1}^1 x(x- 1)- 1+ x dx.
    Thanks from bee77
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Member
    Joined
    Mar 2017
    From
    Annabay
    Posts
    198

    Re: With these two equations how would I get the a and b values ? for integration .

    woops oh thanks ,,
    cheers
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Member
    Joined
    Mar 2017
    From
    Annabay
    Posts
    198

    Re: With these two equations how would I get the a and b values ? for integration .

    Thanks skeeter
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Finding values from two equations
    Posted in the Algebra Forum
    Replies: 2
    Last Post: Jun 25th 2012, 07:50 AM
  2. Quadratic equations: what possible values of k.
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: Jul 17th 2011, 07:28 AM
  3. Integration...having neither x-values
    Posted in the Calculus Forum
    Replies: 2
    Last Post: Apr 18th 2010, 03:06 PM
  4. Integration with absolute values?
    Posted in the Calculus Forum
    Replies: 2
    Last Post: Dec 9th 2008, 03:45 AM
  5. Equations and range of values..
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: Dec 9th 2007, 12:06 PM

/mathhelpforum @mathhelpforum