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A quiz question from the calculus ii course (math 106a,b) offered in the winter 2008 semester at the university. The question asks students to use the methods of completing the square and trigonometric substitution to find the integral of the given expression: √(x^2 + 2x + 26) dx. The document also includes a helpful fact for the trigonometric substitution method.
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QUIZ 5
Show ALL your work CAREFULLY.
Use the method of completing the square together with the technique of trigonometric substitution to find
the following indefinite integral (^) ∫
dx √ x^2 + 2x + 26
(useful fact:
sec x dx = ln | sec x + tan x| + C)
Date: February 13, 2008. 1