The integralwill become
wherewe haveused -substitutionfor the secondintegral.
Example3:
Evaluate.
Solution:
We beginby factoringthe denominatoras Thenthe partialfractiondecompositionis
Multiplyingeachside of the equationby we get the basicequation
This equationis true for all valuesof The mostconvenientvaluesare the onesthat makea factorequal
to zero,namely, and
Substituting
Substituting