MAT1322-3XSolution to Midterm 1 (B)Summer 2014Solution to Midterm Examination 1 (version B)MAT 1322-3X, Summer 20141.(3 marks) Use the definition of improper integrals to find the value of improper integral43126dxx-∫.11lim42. (3 marks)Use the comparison test to show that improper integral3/ 21
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3/ 211xxxxx=.Since1dxxdxx∞∞-=∫∫diverges, improperintegral3/ 2
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3.(3 marks)Find the area of the region bounded by the graph ofy=x2– 6x- 3 and the graphofy= -2x2+ 6x- 3.2
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