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1、Chapter7IntegrationTechniques L HospitalRule andImproperIntegrals 7 3PartialFractions 7 1BasicIntegrationFormulas 7 2IntegrationbyParts 7 4TrigonometricSubstitutions 7 5IntegralTables CAS andMonteCarloIntegration 7 6L HospitalRule 7 7ImproperIntegrals 7 2 IntegrationbyParts 分部积分法 Supposethat Yet wha
2、tshallwedowiththeintegral 拆 凑 Anexample or weset Trytotestifyitscorrectness Proof Recalltheproductrulefordifferentiation Integratingbothsideswithrespecttox wehave Yet whatshallwedowiththeintegral Anexample or weset Infact wecanalsotrytoevaluateitby therefore wehave Example1 Evaluatetheindefiniteinte
3、gral Solution Example1 Evaluatetheindefiniteintegral Solution Example2 Evaluatetheindefiniteintegral Solution Example3 Evaluatetheindefiniteintegral Solution Example4 Evaluatetheindefiniteintegral Solution FrequentlyIntegrationkindsfitforbyParts Example5 Evaluatetheindefiniteintegral Solution 1 2 Example6 Evaluatetheindefiniteintegral Exercises P5536 8 13 18 24 26 27 34
