10. Reduction Formulae
You may have noticed in the Table of Integrals that some integrals are given in terms of a simpler integral. These require a few steps to find the final answer.
Reduction formulae are integrals involving some variable
, as well as the usual
. They are normally obtained from using integration by parts.
We use the notation
when writing reduction formulae.
Example 1
Given that
,
find
.
Example 2
Given that if
,
then
.
Find
.
See the Scientific Notebook version of the same Examples.
(info:
).
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