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Thread: Area

  1. #1
    May 2009


    Find the total area between the region and the x-axis
    y=-x^2-2x, -3(less than equal to)x(less than equal to) 2

    I started the problem but my answer does not match the answer in the textbook
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  2. #2
    Senior Member Spec's Avatar
    Aug 2007
    $\displaystyle \text{Area}=\int_a^b (f(x)-g(x))dx,\ f(x)\geq g(x)$

    Find the intervals where $\displaystyle f(x)\geq g(x)$ and vice versa. $\displaystyle g(x)=0$ in this problem.

    Hint: $\displaystyle f(x)=x^2-2x=x(x-2)$ and study for which intervals that $\displaystyle f(x) \geq 0$ and for which $\displaystyle f(x) \leq 0$.
    Last edited by Spec; Jun 1st 2009 at 01:53 PM.
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