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 Calculus Calculus Math Forum

 December 5th, 2012, 05:59 PM #1 Member   Joined: Aug 2012 Posts: 88 Thanks: 0 Finding area between two bounded curves 1. The problem statement, all variables and given/known data f(x) = (x^3) + (x^2) - (x) g(x) = 20*sin(x^2) 2. Relevant equations 3. The attempt at a solution I found the zeroes of the two functions at 4 intersections, and then the zeroes of each function respectively (there's 3 for f(x) and 4 for g(x) between -3 and 3), for certain reference points when I'm making the integration. I did: integral of [-g(x) from g(0)_1 to g(0)_2] - integral of [-g, x = g(0)_1 intersection_1] - integral of [-f from intersection_1 to intersection_2] - integral of [-f from intersection_2 to g(0)_2] + integral of [-f from intersection_2 f(0)_1] - integral of [-g from intersection_2 to g(0)_2] + integral of [g from g(0)_2 to 0] - integral of [f from f(0)_1 to 0] + integral of [-f from 0 to f(0)_3] + integral of [g from 0 to intersection_4] - integral of [f from f(0)_3 to intersection_4] - integral of [g from intersection_4 to g(0)_4] I used a graph on the Wolframalpha website as a guide. There's 5 main parts to take the areas of and subtract the respective unnecessary areas. I got 39.19 as my answer but I have no way of checking my solution so I wanted to make sure with more knowledgeable people. Tags area, bounded, curves, finding 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 ungeheuer Calculus 3 February 4th, 2013 10:41 AM mathkid Calculus 5 December 14th, 2012 07:48 AM Civilization Calculus 2 October 31st, 2009 08:34 AM Feyenoord87 Calculus 1 December 1st, 2007 05:42 AM mathkid Algebra 1 December 31st, 1969 04:00 PM

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