Exam2 Self-Evaluation Test-1.pdf - Math 141 Section 02 05...

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Math 141, Section 02 & 05, Integral CalculusExam 2: March 12, 2011(80 points)Last name:First name:Student No.:Instructions:This test has 8 problems and a total of 5 pages, including this cover page. You have80 minutes.Read carefully and answerallquestions. Show all the work.Only non-graphing and non-programmable calculators are permitted.Work all problems in the space provided.You must giveexactanswers (and not decimal approximations).QuestionPointsScore1202537475767778697107Total:80
1.(20)(a)Z2ln(x+ 1)(x+ 1)2dx. Answer:
(b)1 + 3x2+x8dx. Answer: 0
(c)x2-3x-4dx. Answer: divergent
2.(5)Determine whether the integral is convergent or divergent33.(7)Find the area of the region enclosed by the given curves.x= siny,x=-siny-1,y= 0,y=π. Answer: 4 +
4.(7)Use shell method to find the volume of the solid obtained by rotating the region boundedbyy=x2,

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