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1、SOLUTION1:Integrate.First,splitthisrationalfunctionintotwoparts.Thus,(Nowuseformula1fromtheintroductiontothissection.).ClickHEREtoreturntothelistofproblems.SOLUTION2:Integrate.Useu-substitution.Letsothat.Substituteintotheoriginalproblem,replacingallformsof,getting(Nowuseformula1fromth
2、eintroductiontothissection.).ClickHEREtoreturntothelistofproblems.SOLUTION3:Integrate.Rewritethefunctionanduseformula3fromtheintroductiontothissection.Then.ClickHEREtoreturntothelistofproblems.SOLUTION4:Integrate.Useu-substitution.Letsothat,or.Substituteintotheoriginalproblem,replacin
3、gallformsof,getting(Nowuseformula1fromtheintroductiontothissection.).ClickHEREtoreturntothelistofproblems.SOLUTION5:Integrate.First,usepolynomialdivisiontodivideby.Theresultis.Inthesecondintegral,useu-substitution.Letsothat.Substituteintotheoriginalproblem,replacingallformsof,getting(
4、Nowuseformula1fromtheintroductiontothissection.).ClickHEREtoreturntothelistofproblems.SOLUTION6:Integrate.First,usepolynomialdivisiontodivideby.Theresultis.Inthethirdintegral,useu-substitution.Letsothat,or.Forthesecondintegral,useformula2fromtheintroductiontothissection.Inthethirdinte
5、gralsubstituteintotheoriginalproblem,replacingallformsof,getting(Nowuseformula1fromtheintroductiontothissection.).ClickHEREtoreturntothelistofproblems.SOLUTION7:Integrate.Useu-substitution.Letsothat.Substituteintotheoriginalproblem,replacingallformsof,getting(Useformula1fromtheintrodu
6、ctiontothissection.).ClickHEREtoreturntothelistofproblems.SOLUTION8:Integrate.Useu-substitution.Letsothat.Inaddition,wecan"backsubstitute"with.Substituteintotheoriginalproblem,replacingallformsof,getting(Combineandsinceisanarbitraryconstant.).SOLUTION9:Integrate.First,completethesquar
7、einthedenominator.Theresultis.Nowuseu-substitution.Letsothat.Substituteintotheoriginalproblem,replacingallformsof,getting(Useformula2fromtheintroductiontothissection.).ClickHEREtoreturntothelistofproblems.SOLUTION10:Integrate.First,factor2fromthedenominator.Theresultis(Completethesqua
8、reint
