108Fall12Ex1VersionASolutions

2 2 3 1 u 3 3 1 9x 1 2 for the second integral let w 1

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Unformatted text preview: e−2 y dy 0 e−2 c) ∫ (1 + e ) dy 2y 0 2 e−2 d) ∫ 1 1 + ( ln x ) dx 2 5 MthSc 108 Test 1-Version A Fall 2012 6 Free Response: The Free Response questions will count 54% of the total grade (plus 1 point for correctly filling out the scantron). Read each question carefully. In order to receive full credit you must show legible and logical (relevant) justification which supports your final answer. All limits of integration should be expressed as exact values not as decimal approximations, ie. π and not 3.14. Solutions should be simplified using exact values such as π and radicals ( 2 ) as necessary. You are NOT permitted to use a calculator on any portion of this test. Evaluate the following integrals. Show all work, including u- substitutions. 2 1/ x e 1. (7 pts) ∫ 2 dx x 1 1 1 Let u = . Then du = − 2 dx. x x 1 If x = 1 then u = 1. If x = 2 then u = . 2 2 1/ x 1/ 2 1/ 2 e dx = −...
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This note was uploaded on 08/22/2013 for the course MTHS 1080 taught by Professor Briggs during the Spring '13 term at Clemson.

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