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MAT1322\-3X Solution to Midterm 1(A) Summer 2014 1 Solution to Midterm Examination 1 (version A)MAT 1322-3X, Summer 2014 1. (3 marks) Use the definition of improper integrals to find the value of improper integral 32136dxx-∫. Solution. 11lim32. (3 marks) Use the comparison test to show that improper integral 312112212xxxxx=-. Since 1122dxxdxx∞∞-=∫∫diverges, improper integral . 3. (3 marks) Find the area of the region bounded by the graph of y= x2– 2x+ 1 and the graph of y= -2x2+ 4x+ 1. 2