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MATH 211 Calculus II Test 1: Indefinite Integrals and Limits, Exams of Calculus

A test from the calculus ii course offered by the department of mathematics at millersville university. It includes eight problems that involve evaluating indefinite integrals and finding limits. Students are required to show all work and write out their answers neatly. The points for each problem are listed in parentheses.

Typology: Exams

Pre 2010

Uploaded on 08/18/2009

koofers-user-d61
koofers-user-d61 🇺🇸

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Millersville University Name
Department of Mathematics
MATH 211, Calculus II, Test 1
July 22, 2008
Please answer the following questions. Your answers will be evaluated on their correctness,
completeness, and use of mathematical concepts we have covered. Please show all work and
write out your work neatly. Answers without supporting work will receive no credit. The
point values of the problems are listed in parentheses.
1. (12 points) Evaluate the following indefinite integral.
Zcos4xsin3x dx
pf3
pf4
pf5
pf8

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Millersville University Name Department of Mathematics MATH 211, Calculus II, Test 1 July 22, 2008

Please answer the following questions. Your answers will be evaluated on their correctness, completeness, and use of mathematical concepts we have covered. Please show all work and write out your work neatly. Answers without supporting work will receive no credit. The point values of the problems are listed in parentheses.

  1. (12 points) Evaluate the following indefinite integral. ∫ cos^4 x sin^3 x dx
  1. (13 points) Evaluate the following indefinite integral.

∫ (^) x (^2) − x − 2

x^3 + x

dx

  1. (13 points) Evaluate the following indefinite integral.

∫ (^) x 3 √ 9 + x^2

dx

  1. (12 points) Find the exact value (no decimal approximations) of the following definite integral. (^) ∫ 2 1

x ln x dx

  1. (13 points) Find the exact value (no decimal approximations) of the following definite integral. (^) ∫ ∞ 0

xe−^3 x^ dx

  1. (13 points) Find the exact value (no decimal approximations) of the following limit, if it exists. lim x→ 0

x − tan x x^3