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Consider the function y = sin(x^2) when answering the following questions.

 

A. Write the first four terms of the Maclaurin series for f(x). 

 

B. Use the Maclaurin series found in Part A to approximate ∫sin(x^2) [0,1].

 

C. How many terms are needed to find the value of the integral given in Part B, correct to three decimal places? What is that value?

Guest May 23, 2017
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Go to Wolfram/Alpha engine and see if it can help you. Check it here:

http://www.wolframalpha.com/input/?i=MacLaurin+series+for+sin(x%5E2)

Guest May 23, 2017

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