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mass = the integral of (1+x^2) = (x+x^3/3) & evaluated at 0 and 3 = 3+9 = 12 gm
moment = the integral of x(1+x^2) = (x^2/2 +x^4/4) & evaluated at 0 and 3 = 4.5+20.25 =24.75 gm cm
therefore center of mass = moment/mass = 24.75/12 =2.0625 cm (Answer)
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Jul 1st, 2015
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