HW9 - with a diagram 2 Find the derivative g x of the...

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M408C, Homework 9 Instructor: Guoliang Wu 1 Quest – Deadline: Thur. 10 / 28 11:59 PM Please log onto Quest https://quest.cns.utexas.edu , and answer the ques- tions online. 2 Problems from textbook – Deadline: Thur. 10 / 28, Discussion Section Please explain your work! Correct answers alone are not enough. 1. If f ( x ) = x 2 - 2 x , 0 x 3, evaluate the Riemann sum with n = 6, taking the sample points to be the middle endpoints of sub-intervals. Illustrate
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Unformatted text preview: with a diagram. 2. Find the derivative g ( x ) of the function g ( x ) = Z x 2 tan x 1 √ 2 + t 4 dt . Hint: Let F ( t ) be an antiderivative of 1 √ 2 + t 4 , and express g in terms of F. And finally take the derivative. 3. Evaluate the integral Z π/ 4 1 1 + cos 2 θ cos 2 θ d θ. 1...
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