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 November 27th, 2014, 12:33 PM #1 Member   Joined: Sep 2014 From: Cambridge Posts: 64 Thanks: 4 Fundamental Theorem The area between y= 18 -3x -x^2 and the x axis The answer I got was 202.5, is this correct? I found the x values for when the function = 0 and got x = -6, x = 3. Then I found the antiderivative of the function and plugged in x = 9 and got 202.5
 November 27th, 2014, 01:11 PM #2 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,842 Thanks: 1068 Math Focus: Elementary mathematics and beyond In general, $\int_a^b f(x)\,dx=F(b)-F(a)$, where $F$ is the antiderivative of $f$. $\displaystyle \int_{-6}^318-3x-x^2\,dx=\left.\left(18x-\frac32x^2-\frac13x^3\right)\right|_{-6}^3=\left(54-\frac{27}{2}-9\right)-(-108-54+72)=121.5$ Thanks from Omnipotent Last edited by greg1313; December 2nd, 2014 at 05:37 AM.

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