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A calculus ii quiz from the university of california, berkeley, fall 2005 semester. The quiz includes two problems, one involving partial fractions and the other involving trigonometric substitution to evaluate indefinite integrals.
Typology: Exercises
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QUIZ 5
Show ALL your work CAREFULLY.
(a) Use the technique of partial fractions to evaluate the following indefi-
nite integral. (^) ∫
x + 6
(x + 1)(x^2 + 1)
dx
(b) Use trigonometric substitution to find the following indefinite integral. ∫ dx √ 1 + x^2
Date: October 17, 2005. 1
