EvaluateYourself-1.pdf - Math 141 Section 04 05 Integral...

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Math 141, Section 04 & 05, Integral CalculusSelf Evaluation: January 30, 2010(150 points)Last name:First name:Student No.:Instructions:There are 30 questions on a total of 5 pages, including this cover page.Write yoursolutions in the space provided.Read each question carefully andshow all your work. Provideexactanswers (insteadof decimal approximations) unless indicated otherwise.Only Sharp EL531M, EL531Q, EL509VHB, EL531VB, and Texas Instruments TI-32, TI-32-solar, TI-30X, TI-30XA (solar or battery), TI30X-IIS, and TI30X-IIB arepermitted.
QuestionPointsScore152535455565758595105115125135145155165175185195205215225235245255265275285295305Total:150Page 2
1.(5)Determine whether the integral is convergent or divergent(a)Z12 +e-xxdx(b)Z0tan-1x2 +exdx2.(5)(a) Show thatZ(lnx)ndx=x(lnx)n-nZ(lnx)n-1(b) Use part(a) to evaluate the integralZ(lnx)

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