March 2012
Intermediate to advanced
604 pages
23h 58m
English
Content preview from Engineering Mathematics, Volume I, Second Edition
8.1 REDUCTION FORMULAS FOR
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8
Reduction Formulas
A reduction formula for a given integral is an integral which is of the same type as the given integral but of a lower degree (or order). The reduction formula is used when the given integral cannot be evaluated otherwise. The repeated application of the reduction formula helps us to evaluate the given integral. In what follows, we shall observe that the reduction formulas are obtained by repeated application of integration by parts.
8.1 REDUCTION FORMULAS FOR 
AND 
(i) Integration by parts yields
Therefore, transposing ...
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