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Indefinite Integral (1)
Question: How
do we do an indefinite integral such as
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Yours
Truly answers:
Listen to my audio feed as you read the answer below. 
As
the first step, we should concentrate on the indefinite integral
of sin(2x),
without the 5.
This is because the 5 is
a constant multiple that “sticks around” throughout the
computations.
(1) The moment we see sin(2x),
think of cos(2x) whose
derivative is –2sin(2x).
(2) So, in order to end up with sin(2x) when
differentiated, we need to start
instead with
(3)
Since the 5 sticks
around, we would have

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September 4, 2008
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