Q5. Let the improper integrals, sin()dx and sin² ()dx (i) (ii) Write down the first 3 terms of Maclaurin series for f(x) in above two integrals. Use the series so obtained from part (i) for the 1st three terms of these functions to determine whether the integrals exists.

Advanced Engineering Mathematics
10th Edition
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Chapter2: Second-order Linear Odes
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Q5.
Let the improper integrals sin(-)dx and
Si sin?()dx
(i)
Write down the first 3 terms of Maclaurin series for f(x) in above two
integrals.
(ii)
Use the series so obtained from part (i) for the 1st three terms of these
functions to determine whether the integrals exists.
Transcribed Image Text:Q5. Let the improper integrals sin(-)dx and Si sin?()dx (i) Write down the first 3 terms of Maclaurin series for f(x) in above two integrals. (ii) Use the series so obtained from part (i) for the 1st three terms of these functions to determine whether the integrals exists.
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