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Material Type: Exam; Class: Calculus II; Subject: Mathematics; University: University of Illinois - Urbana-Champaign; Term: Unknown 1989;
Typology: Exams
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Math 231 - Practice Exam Due
This is a practice exam for Math 231. I suggest that you take it as a regular exam: set aside 50 minutes and put it aside at the end of that time. An solution set will be posted next week on the class website. Please check the class website periodically for updates, typos, etc. http://www.math.uiuc.edu/ jared/Math
(Name)
Problem Points Possible Points
1 15 2 15 3 15 4 15 5 20 6 20 Total 100
Problem 2: (^) ∫ dx x(x^2 + 1)
Problem 3: (^) ∫
sec^2 (x) tan^2 (x)dx
Problem 5: (^) ∫ dx x(x − 1)
State the comparison test for improper integrals, and determine whether or not the following integral converges by comparing to an appropriate test function: ∫ (^) ∞
1
dx √ x(x + 1)
