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Thread: Finding the finite area between curves

  1. #1
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    Finding the finite area between curves

    y=1-x^2 ,y=9x-21

    I understand the integral formula is

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

    to find the a and b values what should I do ?

    I understand the 1 - x^2 is a parabola that goes downwards and the 9x-21 is a line

    Thanks
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  2. #2
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    Re: Finding the finite area between curves

    Quote Originally Posted by bee77 View Post
    y=1-x^2 ,y=9x-21
    I understand the integral formula is
    $$\int_{a}^{b} [f(x)-g(x)] dx$$to find the a and b values what should I do ?
    I understand the 1 - x^2 is a parabola that goes downwards and the 9x-21 is a line
    Set $1-x^2=9x-21$ and solve. See HERE
    Thanks from bee77
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  3. #3
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    Re: Finding the finite area between curves

    Thanks Plato I had a look at some youtube videos and I just got lost ...the solutions state x = 2 and x = -11 so those values would be the b = 2 and a = -11 respectively then I just simply integrate ...cheers
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  4. #4
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    Re: Finding the finite area between curves

    The final answer is A =2197/6 units^2
    in the work sheet ...I seem to get different
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  5. #5
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    Re: Finding the finite area between curves

    Quote Originally Posted by bee77 View Post
    The final answer is A =2197/6 units^2
    in the work sheet ...I seem to get different
    SEE HERE
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  6. #6
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    Re: Finding the finite area between curves

    Thnaks Plato ,I can see I made a simple algebra mistake with the 21 becoming 22 in the integration part ...cheers
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