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1、SOLUTION1:Integrate.First,splitthisrationalfunctionintotwoparts.Thus,(Nowuseformula1fromtheintroductiontothissection.).ClickHEREtoreturntothelistofproblems.SOLUTION2:Integrate.Useu-substitution.Letsothat.Substituteintotheoriginalproblem,replacingallformsof,getting(Nowus
2、eformula1fromtheintroductiontothissection.).ClickHEREtoreturntothelistofproblems.SOLUTION3:Integrate.Rewritethefunctionanduseformula3fromtheintroductiontothissection.Then.ClickHEREtoreturntothelistofproblems.SOLUTION4:Integrate.Useu-substitution.Letsothat,or.Substitutei
3、ntotheoriginalproblem,replacingallformsof,getting(Nowuseformula1fromtheintroductiontothissection.).ClickHEREtoreturntothelistofproblems.SOLUTION5:Integrate.First,usepolynomialdivisiontodivideby.Theresultis.Inthesecondintegral,useu-substitution.Letsothat.Substituteintoth
4、eoriginalproblem,replacingallformsof,getting(Nowuseformula1fromtheintroductiontothissection.).ClickHEREtoreturntothelistofproblems.SOLUTION6:Integrate.First,usepolynomialdivisiontodivideby.Theresultis.Inthethirdintegral,useu-substitution.Letsothat,or.Forthesecondintegra
5、l,useformula2fromtheintroductiontothissection.Inthethirdintegralsubstituteintotheoriginalproblem,replacingallformsof,getting(Nowuseformula1fromtheintroductiontothissection.).ClickHEREtoreturntothelistofproblems.SOLUTION7:Integrate.Useu-substitution.Letsothat.Substitutei
6、ntotheoriginalproblem,replacingallformsof,getting(Useformula1fromtheintroductiontothissection.).ClickHEREtoreturntothelistofproblems.SOLUTION8:Integrate.Useu-substitution.Letsothat.Inaddition,wecan"backsubstitute"with.Substituteintotheoriginalproblem,replacingallformsof
7、,getting(Combineandsinceisanarbitraryconstant.).SOLUTION9:Integrate.First,completethesquareinthedenominator.Theresultis.Nowuseu-substitution.Letsothat.Substituteintotheoriginalproblem,replacingallformsof,getting(Useformula2fromtheintroductiontothissection.).ClickHEREtor
8、eturntothelistofproblems.SOLUTION10:Integrate.First,factor2fromthedenominator.Theresultis(Completethesquareint
