227-04Quiz2SolutionsSp11

# 227-04Quiz2SolutionsSp11 - x dx = 1 3 xe 3 x& 1 9 e 3 x...

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Math 227.04 Quiz 2 February 10, 2011 Name___________________________Key____________ Instructions. Calculators are not permitted. For full credit, you must show your work and write complete mathematical sentences. Please display your answers clearly and erase or cross out any work you wish to be ignored. 1. Find Z xe 3 x dx: Solution. Let u = x; du = dx , and dv = e 3 x dx; v = 1 3 e 3 x : Then Z xe 3 x dx = 1 3 xe 3 x Z 1 3 e 3
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Unformatted text preview: x dx = 1 3 xe 3 x & 1 9 e 3 x + C: 2. Find Z 2 1 ln x dx: Express your answer in exact form (not as a decimal expression). Solution. Let u = ln x; du = 1 x dx; and dv = dx , v = x: Then Z 2 1 ln x dx = x ln x j 2 1 & Z 2 1 x ± 1 x dx = (2 ln 2 & ln 1) & Z 2 1 1 dx = 2 ln 2 & ( x j 2 1 ) = 2 ln 2 & (2 & 1) = (2 ln 2) & 1 : 1...
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## This note was uploaded on 10/16/2011 for the course MATH 227 taught by Professor Cheung during the Spring '09 term at S.F. State.

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