Problems on Techniques of Integration
We have a definite integral which depends on the integer The fundamental formula
will be very useful. We have
In order to evaluate
, we will use the integration by parts technique. Since the derivative of is
, we set
Then
Since
we get
Since and
, we get
So
which implies
This is the recurrent formula. In particular, the first integrals and , will give all the integrals , for For example, we have
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