Calculus Calculus Math Forum

 November 27th, 2014, 01:33 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, 02:11 PM #2 Global Moderator   Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,982 Thanks: 1166 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 06:37 AM. Tags fundamental, theorem Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post ray Algebra 6 April 22nd, 2012 04:50 AM layd33foxx Calculus 3 December 12th, 2011 08:32 PM johnny Algebra 11 December 21st, 2007 10:51 PM mrguitar Calculus 3 December 9th, 2007 02:22 PM johnny Number Theory 5 October 31st, 2007 05:52 AM

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