My Math Forum Fundamental Theorem

 Calculus Calculus Math Forum

 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: 7,963 Thanks: 1148 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.

 Tags fundamental, theorem

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post ray Algebra 6 April 22nd, 2012 03:50 AM layd33foxx Calculus 3 December 12th, 2011 07:32 PM johnny Algebra 11 December 21st, 2007 09:51 PM mrguitar Calculus 3 December 9th, 2007 01:22 PM johnny Number Theory 5 October 31st, 2007 04:52 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top