Consider a uniform flat plate with density p = 1 bounded above by the graph of y = 1/(1 + x), bounded below by the graph of y = -1/(1 + x), bounded on the left by the y axis, and with no bound on the right. (a) What is the mass of this plate? m = 0 (b) For any b > 0, compute the integral 6 b 2x 1+x2 dx = We can conclude that My = lim . 819 10 b 2x 1+x dx = , (your answer will depend on b) so this infinite plate has finite mass, but does not have a finite center of mass.