IntegratingPowersof Secantsand Tangents
In this sectionwe will studymethodsof integratingfunctionsof the form
where and are nonnegativeintegers.However, we will beginwith the integrals
and
The first integralcan be evaluatedby writing
Using -substitution,let so The integralbecomes
The secondintegral , however, is not straightforward—itrequiresa trick.Let