MATH103 April 2011
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Question 07 (b)
The following definite integral cannot be solved analytically:
Approximate the integral based on the first three non-zero terms in the Taylor series (around ).
Hint: Taylor series for
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Divide the first three terms in series for by , then integrate term-by-term.
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Dividing the first three nonzero terms in the Taylor series for by ,
(Note that this is a pretty good approximation. while WolframAlpha approximates the full integral with .)
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