15. twice a number less than twenty is at most ten Inequality: help please
2 answers:
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Rather than carrying out IBP several times, let's establish a more general result. Let
One round of IBP, setting
gives
This is called a power-reduction formula. We could try solving for explicitly, but no need.
is small enough to just expand
as much as we need to.
Finally,
so we end up with
and the antiderivative is