MATH101 April 2009
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Question 01 (g)
Give the first three nonzero terms of the Maclaurin series (power series in ) for
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First compute the Maclaurin series for the integrand.
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Since the Maclaurin series for is
the Maclaurin series for is
Hence, the first few nonzero terms of the Maclaurin series for the integrand are
Anti-differentiating these, we obtain the first few nonzero terms of the indefinite integral
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