MATH103 April 2011
• Q1 (a) • Q1 (b) • Q1 (c) • Q2 (a) • Q2 (b) • Q2 (c) • Q2 (d) • Q3 (a) • Q3 (b) • Q4 (a) • Q4 (b) • Q5 (a) • Q5 (b) • Q5 (c) • Q5 (d) • Q6 (a) • Q6 (b) • Q7 (a) • Q7 (b) • Q7 (c) • Q8 •
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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MER QGH flag, MER QGQ flag, MER QGS flag, MER RT flag, MER Tag Taylor series