In this part 1, i'll give some solution of the previous IMC 2010 problems. The problems are relatively easy compared to the last year.  Problem 1.  Let a\leq b where a is a positive real number \int_a^b(x^2+1)e^{-x^2}dx\geq e^{-a^2}-e^{-b^2}. Solution: Okay, this is too easy for IMC, first we prove...
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