1322Midterm1BS14Solution - MAT1322-3X Solution to Midterm 1(B Summer 2014 Solution to Midterm Examination 1(version B MAT 1322-3X Summer 2014 1(3 marks

1322Midterm1BS14Solution - MAT1322-3X Solution to Midterm...

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MAT1322-3X Solution to Midterm 1 (B) Summer 2014 1 Solution to Midterm Examination 1 (version B) MAT 1322-3X, Summer 2014 1. (3 marks) Use the definition of improper integrals to find the value of improper integral 43126dxx-. Solution. 11lim 4 2. (3 marks) Use the comparison test to show that improper integral 3/ 2111xxxxx=. Since 1dxxdxx-=diverges, improper integral 3/ 2 3/ 2 1 3. (3 marks) Find the area of the region bounded by the graph of y= x2– 6x- 3 and the graph of y= -2x2+ 6x- 3. 2

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