MAT 1322 Study Guide - Midterm Guide: Dirham, Improper Integral, Direct Comparison Test

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18 Sep 2014
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Mat 1322-3x, summer 2014: (3 marks) use the definition of improper integrals to find the value of improper integral. Use variable substitution, u = 3x 6, u" = 3. 3: (3 marks) use the comparison test to show that improper integral. 1: (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. Let x2 2x + 1 = 2x2 + 4x + 1. 0: (3 marks) let r be the region under the graph of y = arcsin x and above the x-axis, 0 . Find the volume of the solid obtained by revolving r about the y-axis. The inverse of this function is x = sin y, 0 . The volume of the solid is y x . 0 (1 cos ) u du y dy p. / 2 (1 cos(2 )) y dy pp.

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