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December 5th, 2012, 06:59 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. 

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area, bounded, curves, finding 
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