CK12 Calculus - Single Variable

We needto use the formulaagainto solvethe integral :

If and are both positiveintegers,then an integralof the form

can be evaluatedby one of the proceduresshownin the tablebelow, dependingon whether and are
odd or even.

Procedure Identities

even Let

odd Let

even odd Reducepowersof

Example8:

Evaluate.
Solution:

Here is even,and so we will followthe first procedurein the tableabove.Let so
Beforewe substitute,split off a factorof

Since

Now we makethe -substitution: